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Finding the Fourth Proportional to 9,131.53, 12,601.47 and 4,939.78

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Solution

The fourth proportional to 9,131.53, 12,601.47 and 4,939.78 is: 6,816.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,131.53 : 12,601.47 = 4,939.78 : x
  2. Step 2: Convert to fraction form
    9,131.53/12,601.47 = 4,939.78/x
  3. Step 3: Cross multiply
    9,131.53x = 12,601.47 × 4,939.78
  4. Step 4: Simplify right side
    9,131.53x = 62,248,489.48
  5. Step 5: Solve for x
    x = 62,248,489.48/9,131.53
  6. Step 6: Final answer
    x = 6,816.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.