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Finding the Fourth Proportional to 7,032.71, 9,693.16 and 6,436.85

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Solution

The fourth proportional to 7,032.71, 9,693.16 and 6,436.85 is: 8,871.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,032.71 : 9,693.16 = 6,436.85 : x
  2. Step 2: Convert to fraction form
    7,032.71/9,693.16 = 6,436.85/x
  3. Step 3: Cross multiply
    7,032.71x = 9,693.16 × 6,436.85
  4. Step 4: Simplify right side
    7,032.71x = 62,393,352.39
  5. Step 5: Solve for x
    x = 62,393,352.39/7,032.71
  6. Step 6: Final answer
    x = 8,871.88

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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.