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Finding the Fourth Proportional to 6,382.20, 9,498.18 and 6,148.92

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Solution

The fourth proportional to 6,382.20, 9,498.18 and 6,148.92 is: 9,151.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382.20 : 9,498.18 = 6,148.92 : x
  2. Step 2: Convert to fraction form
    6,382.20/9,498.18 = 6,148.92/x
  3. Step 3: Cross multiply
    6,382.20x = 9,498.18 × 6,148.92
  4. Step 4: Simplify right side
    6,382.20x = 58,403,548.97
  5. Step 5: Solve for x
    x = 58,403,548.97/6,382.20
  6. Step 6: Final answer
    x = 9,151.01

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.