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Finding the Fourth Proportional to 9,529.92, 13,149 and 7,294.32

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Solution

The fourth proportional to 9,529.92, 13,149 and 7,294.32 is: 10,064.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,529.92 : 13,149 = 7,294.32 : x
  2. Step 2: Convert to fraction form
    9,529.92/13,149 = 7,294.32/x
  3. Step 3: Cross multiply
    9,529.92x = 13,149 × 7,294.32
  4. Step 4: Simplify right side
    9,529.92x = 95,913,013.68
  5. Step 5: Solve for x
    x = 95,913,013.68/9,529.92
  6. Step 6: Final answer
    x = 10,064.41

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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.