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Finding the Fourth Proportional to 9,753.72, 14,691.32 and 9,069.37

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Solution

The fourth proportional to 9,753.72, 14,691.32 and 9,069.37 is: 13,660.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,753.72 : 14,691.32 = 9,069.37 : x
  2. Step 2: Convert to fraction form
    9,753.72/14,691.32 = 9,069.37/x
  3. Step 3: Cross multiply
    9,753.72x = 14,691.32 × 9,069.37
  4. Step 4: Simplify right side
    9,753.72x = 133,241,019.82
  5. Step 5: Solve for x
    x = 133,241,019.82/9,753.72
  6. Step 6: Final answer
    x = 13,660.54

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.