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Finding the Fourth Proportional to 9,409,002.04, 12,983,642.22 and 5,278,468.28

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Solution

The fourth proportional to 9,409,002.04, 12,983,642.22 and 5,278,468.28 is: 7,283,848.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409,002.04 : 12,983,642.22 = 5,278,468.28 : x
  2. Step 2: Convert to fraction form
    9,409,002.04/12,983,642.22 = 5,278,468.28/x
  3. Step 3: Cross multiply
    9,409,002.04x = 12,983,642.22 × 5,278,468.28
  4. Step 4: Simplify right side
    9,409,002.04x = 68,533,743,617,138.79
  5. Step 5: Solve for x
    x = 68,533,743,617,138.79/9,409,002.04
  6. Step 6: Final answer
    x = 7,283,848.31

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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.