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Finding the Fourth Proportional to 9,721.71, 13,415.80 and 5,414.76

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Solution

The fourth proportional to 9,721.71, 13,415.80 and 5,414.76 is: 7,472.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,721.71 : 13,415.80 = 5,414.76 : x
  2. Step 2: Convert to fraction form
    9,721.71/13,415.80 = 5,414.76/x
  3. Step 3: Cross multiply
    9,721.71x = 13,415.80 × 5,414.76
  4. Step 4: Simplify right side
    9,721.71x = 72,643,337.21
  5. Step 5: Solve for x
    x = 72,643,337.21/9,721.71
  6. Step 6: Final answer
    x = 7,472.28

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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.