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Finding the Fourth Proportional to 6,785.27, 9,358.49 and 5,842.70

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Solution

The fourth proportional to 6,785.27, 9,358.49 and 5,842.70 is: 8,058.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,785.27 : 9,358.49 = 5,842.70 : x
  2. Step 2: Convert to fraction form
    6,785.27/9,358.49 = 5,842.70/x
  3. Step 3: Cross multiply
    6,785.27x = 9,358.49 × 5,842.70
  4. Step 4: Simplify right side
    6,785.27x = 54,678,849.52
  5. Step 5: Solve for x
    x = 54,678,849.52/6,785.27
  6. Step 6: Final answer
    x = 8,058.46

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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.