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Finding the Fourth Proportional to 9,432.54, 14,148.54 and 3,587.76

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Solution

The fourth proportional to 9,432.54, 14,148.54 and 3,587.76 is: 5,381.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,432.54 : 14,148.54 = 3,587.76 : x
  2. Step 2: Convert to fraction form
    9,432.54/14,148.54 = 3,587.76/x
  3. Step 3: Cross multiply
    9,432.54x = 14,148.54 × 3,587.76
  4. Step 4: Simplify right side
    9,432.54x = 50,761,565.87
  5. Step 5: Solve for x
    x = 50,761,565.87/9,432.54
  6. Step 6: Final answer
    x = 5,381.54

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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.