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Finding the Fourth Proportional to 37,728.72, 56,593.05 and 9,648.83

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Solution

The fourth proportional to 37,728.72, 56,593.05 and 9,648.83 is: 14,473.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,728.72 : 56,593.05 = 9,648.83 : x
  2. Step 2: Convert to fraction form
    37,728.72/56,593.05 = 9,648.83/x
  3. Step 3: Cross multiply
    37,728.72x = 56,593.05 × 9,648.83
  4. Step 4: Simplify right side
    37,728.72x = 546,056,435.67
  5. Step 5: Solve for x
    x = 546,056,435.67/37,728.72
  6. Step 6: Final answer
    x = 14,473.23

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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.