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Finding the Fourth Proportional to 9,382.86, 14,079.42 and 3,144.78

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Solution

The fourth proportional to 9,382.86, 14,079.42 and 3,144.78 is: 4,718.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,382.86 : 14,079.42 = 3,144.78 : x
  2. Step 2: Convert to fraction form
    9,382.86/14,079.42 = 3,144.78/x
  3. Step 3: Cross multiply
    9,382.86x = 14,079.42 × 3,144.78
  4. Step 4: Simplify right side
    9,382.86x = 44,276,678.43
  5. Step 5: Solve for x
    x = 44,276,678.43/9,382.86
  6. Step 6: Final answer
    x = 4,718.89

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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.