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Finding the Fourth Proportional to 6,641.62, 9,174.75 and 6,291.70

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Solution

The fourth proportional to 6,641.62, 9,174.75 and 6,291.70 is: 8,691.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,641.62 : 9,174.75 = 6,291.70 : x
  2. Step 2: Convert to fraction form
    6,641.62/9,174.75 = 6,291.70/x
  3. Step 3: Cross multiply
    6,641.62x = 9,174.75 × 6,291.70
  4. Step 4: Simplify right side
    6,641.62x = 57,724,774.58
  5. Step 5: Solve for x
    x = 57,724,774.58/6,641.62
  6. Step 6: Final answer
    x = 8,691.37

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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.