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Finding the Fourth Proportional to 6,677.92, 9,215.34 and 3,693.65

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Solution

The fourth proportional to 6,677.92, 9,215.34 and 3,693.65 is: 5,097.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,677.92 : 9,215.34 = 3,693.65 : x
  2. Step 2: Convert to fraction form
    6,677.92/9,215.34 = 3,693.65/x
  3. Step 3: Cross multiply
    6,677.92x = 9,215.34 × 3,693.65
  4. Step 4: Simplify right side
    6,677.92x = 34,038,240.59
  5. Step 5: Solve for x
    x = 34,038,240.59/6,677.92
  6. Step 6: Final answer
    x = 5,097.14

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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.