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Finding the Fourth Proportional to 35,840.96, 53,761.38 and 9,545.78

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Solution

The fourth proportional to 35,840.96, 53,761.38 and 9,545.78 is: 14,318.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,840.96 : 53,761.38 = 9,545.78 : x
  2. Step 2: Convert to fraction form
    35,840.96/53,761.38 = 9,545.78/x
  3. Step 3: Cross multiply
    35,840.96x = 53,761.38 × 9,545.78
  4. Step 4: Simplify right side
    35,840.96x = 513,194,305.98
  5. Step 5: Solve for x
    x = 513,194,305.98/35,840.96
  6. Step 6: Final answer
    x = 14,318.65

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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.