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Finding the Fourth Proportional to 9,721.32, 13,415.13 and 5,472.62

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Solution

The fourth proportional to 9,721.32, 13,415.13 and 5,472.62 is: 7,552.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,721.32 : 13,415.13 = 5,472.62 : x
  2. Step 2: Convert to fraction form
    9,721.32/13,415.13 = 5,472.62/x
  3. Step 3: Cross multiply
    9,721.32x = 13,415.13 × 5,472.62
  4. Step 4: Simplify right side
    9,721.32x = 73,415,841.66
  5. Step 5: Solve for x
    x = 73,415,841.66/9,721.32
  6. Step 6: Final answer
    x = 7,552.04

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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.