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Finding the Fourth Proportional to 7,130.33, 9,842.60 and 6,382.97

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Solution

The fourth proportional to 7,130.33, 9,842.60 and 6,382.97 is: 8,810.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130.33 : 9,842.60 = 6,382.97 : x
  2. Step 2: Convert to fraction form
    7,130.33/9,842.60 = 6,382.97/x
  3. Step 3: Cross multiply
    7,130.33x = 9,842.60 × 6,382.97
  4. Step 4: Simplify right side
    7,130.33x = 62,825,020.52
  5. Step 5: Solve for x
    x = 62,825,020.52/7,130.33
  6. Step 6: Final answer
    x = 8,810.96

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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.