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Finding the Fourth Proportional to 6,678.65, 9,217.06 and 4,160.84

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Solution

The fourth proportional to 6,678.65, 9,217.06 and 4,160.84 is: 5,742.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,678.65 : 9,217.06 = 4,160.84 : x
  2. Step 2: Convert to fraction form
    6,678.65/9,217.06 = 4,160.84/x
  3. Step 3: Cross multiply
    6,678.65x = 9,217.06 × 4,160.84
  4. Step 4: Simplify right side
    6,678.65x = 38,350,655.44
  5. Step 5: Solve for x
    x = 38,350,655.44/6,678.65
  6. Step 6: Final answer
    x = 5,742.27

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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.