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Finding the Fourth Proportional to 9,721.90, 13,412.86 and 5,472.28

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Solution

The fourth proportional to 9,721.90, 13,412.86 and 5,472.28 is: 7,549.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,721.90 : 13,412.86 = 5,472.28 : x
  2. Step 2: Convert to fraction form
    9,721.90/13,412.86 = 5,472.28/x
  3. Step 3: Cross multiply
    9,721.90x = 13,412.86 × 5,472.28
  4. Step 4: Simplify right side
    9,721.90x = 73,398,925.52
  5. Step 5: Solve for x
    x = 73,398,925.52/9,721.90
  6. Step 6: Final answer
    x = 7,549.85

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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.