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Finding the Fourth Proportional to 6,711.27, 9,244.17 and 5,647.74

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Solution

The fourth proportional to 6,711.27, 9,244.17 and 5,647.74 is: 7,779.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.27 : 9,244.17 = 5,647.74 : x
  2. Step 2: Convert to fraction form
    6,711.27/9,244.17 = 5,647.74/x
  3. Step 3: Cross multiply
    6,711.27x = 9,244.17 × 5,647.74
  4. Step 4: Simplify right side
    6,711.27x = 52,208,668.68
  5. Step 5: Solve for x
    x = 52,208,668.68/6,711.27
  6. Step 6: Final answer
    x = 7,779.25

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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.