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Finding the Fourth Proportional to 6,705.28, 9,248.14 and 4,182.71

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Solution

The fourth proportional to 6,705.28, 9,248.14 and 4,182.71 is: 5,768.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.28 : 9,248.14 = 4,182.71 : x
  2. Step 2: Convert to fraction form
    6,705.28/9,248.14 = 4,182.71/x
  3. Step 3: Cross multiply
    6,705.28x = 9,248.14 × 4,182.71
  4. Step 4: Simplify right side
    6,705.28x = 38,682,246.65
  5. Step 5: Solve for x
    x = 38,682,246.65/6,705.28
  6. Step 6: Final answer
    x = 5,768.92

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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.