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Finding the Fourth Proportional to 6,678.50, 9,215.57 and 3,693.92

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Solution

The fourth proportional to 6,678.50, 9,215.57 and 3,693.92 is: 5,097.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,678.50 : 9,215.57 = 3,693.92 : x
  2. Step 2: Convert to fraction form
    6,678.50/9,215.57 = 3,693.92/x
  3. Step 3: Cross multiply
    6,678.50x = 9,215.57 × 3,693.92
  4. Step 4: Simplify right side
    6,678.50x = 34,041,541.49
  5. Step 5: Solve for x
    x = 34,041,541.49/6,678.50
  6. Step 6: Final answer
    x = 5,097.19

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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.