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Finding the Fourth Proportional to 9,657.68, 14,487.42 and 4,034.66

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Solution

The fourth proportional to 9,657.68, 14,487.42 and 4,034.66 is: 6,052.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.68 : 14,487.42 = 4,034.66 : x
  2. Step 2: Convert to fraction form
    9,657.68/14,487.42 = 4,034.66/x
  3. Step 3: Cross multiply
    9,657.68x = 14,487.42 × 4,034.66
  4. Step 4: Simplify right side
    9,657.68x = 58,451,813.98
  5. Step 5: Solve for x
    x = 58,451,813.98/9,657.68
  6. Step 6: Final answer
    x = 6,052.37

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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.