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Finding the Fourth Proportional to 9,221.36, 13,797 and 5,601.47

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Solution

The fourth proportional to 9,221.36, 13,797 and 5,601.47 is: 8,380.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,221.36 : 13,797 = 5,601.47 : x
  2. Step 2: Convert to fraction form
    9,221.36/13,797 = 5,601.47/x
  3. Step 3: Cross multiply
    9,221.36x = 13,797 × 5,601.47
  4. Step 4: Simplify right side
    9,221.36x = 77,283,412.61
  5. Step 5: Solve for x
    x = 77,283,412.61/9,221.36
  6. Step 6: Final answer
    x = 8,380.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.