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Finding the Fourth Proportional to 9,669.44, 13,343.52 and 5,691.20

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Solution

The fourth proportional to 9,669.44, 13,343.52 and 5,691.20 is: 7,853.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,669.44 : 13,343.52 = 5,691.20 : x
  2. Step 2: Convert to fraction form
    9,669.44/13,343.52 = 5,691.20/x
  3. Step 3: Cross multiply
    9,669.44x = 13,343.52 × 5,691.20
  4. Step 4: Simplify right side
    9,669.44x = 75,940,641.02
  5. Step 5: Solve for x
    x = 75,940,641.02/9,669.44
  6. Step 6: Final answer
    x = 7,853.68

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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.