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Finding the Fourth Proportional to 6,252.30, 9,382.86 and 4,613.10

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Solution

The fourth proportional to 6,252.30, 9,382.86 and 4,613.10 is: 6,922.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,252.30 : 9,382.86 = 4,613.10 : x
  2. Step 2: Convert to fraction form
    6,252.30/9,382.86 = 4,613.10/x
  3. Step 3: Cross multiply
    6,252.30x = 9,382.86 × 4,613.10
  4. Step 4: Simplify right side
    6,252.30x = 43,284,071.47
  5. Step 5: Solve for x
    x = 43,284,071.47/6,252.30
  6. Step 6: Final answer
    x = 6,922.90

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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.