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Finding the Fourth Proportional to 7,227.31, 9,973.69 and 3,915.31

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Solution

The fourth proportional to 7,227.31, 9,973.69 and 3,915.31 is: 5,403.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,227.31 : 9,973.69 = 3,915.31 : x
  2. Step 2: Convert to fraction form
    7,227.31/9,973.69 = 3,915.31/x
  3. Step 3: Cross multiply
    7,227.31x = 9,973.69 × 3,915.31
  4. Step 4: Simplify right side
    7,227.31x = 39,050,088.19
  5. Step 5: Solve for x
    x = 39,050,088.19/7,227.31
  6. Step 6: Final answer
    x = 5,403.13

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