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Finding the Fourth Proportional to 9,982,406.76, 13,775,730.54 and 5,398,728.24

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Solution

The fourth proportional to 9,982,406.76, 13,775,730.54 and 5,398,728.24 is: 7,450,249.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982,406.76 : 13,775,730.54 = 5,398,728.24 : x
  2. Step 2: Convert to fraction form
    9,982,406.76/13,775,730.54 = 5,398,728.24/x
  3. Step 3: Cross multiply
    9,982,406.76x = 13,775,730.54 × 5,398,728.24
  4. Step 4: Simplify right side
    9,982,406.76x = 74,371,425,492,928.45
  5. Step 5: Solve for x
    x = 74,371,425,492,928.45/9,982,406.76
  6. Step 6: Final answer
    x = 7,450,249.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.