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Finding the Fourth Proportional to 9,982,407.84, 13,775,732.07 and 5,398,729.20

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Solution

The fourth proportional to 9,982,407.84, 13,775,732.07 and 5,398,729.20 is: 7,450,251.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982,407.84 : 13,775,732.07 = 5,398,729.20 : x
  2. Step 2: Convert to fraction form
    9,982,407.84/13,775,732.07 = 5,398,729.20/x
  3. Step 3: Cross multiply
    9,982,407.84x = 13,775,732.07 × 5,398,729.20
  4. Step 4: Simplify right side
    9,982,407.84x = 74,371,446,977,685.45
  5. Step 5: Solve for x
    x = 74,371,446,977,685.45/9,982,407.84
  6. Step 6: Final answer
    x = 7,450,251.30

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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.