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Finding the Fourth Proportional to 37,737.56, 56,608.27 and 9,657.85

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Solution

The fourth proportional to 37,737.56, 56,608.27 and 9,657.85 is: 14,487.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,737.56 : 56,608.27 = 9,657.85 : x
  2. Step 2: Convert to fraction form
    37,737.56/56,608.27 = 9,657.85/x
  3. Step 3: Cross multiply
    37,737.56x = 56,608.27 × 9,657.85
  4. Step 4: Simplify right side
    37,737.56x = 546,714,120.89
  5. Step 5: Solve for x
    x = 546,714,120.89/37,737.56
  6. Step 6: Final answer
    x = 14,487.27

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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.