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Finding the Fourth Proportional to 6,189.84, 8,543.92 and 4,176.17

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Solution

The fourth proportional to 6,189.84, 8,543.92 and 4,176.17 is: 5,764.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.84 : 8,543.92 = 4,176.17 : x
  2. Step 2: Convert to fraction form
    6,189.84/8,543.92 = 4,176.17/x
  3. Step 3: Cross multiply
    6,189.84x = 8,543.92 × 4,176.17
  4. Step 4: Simplify right side
    6,189.84x = 35,680,862.39
  5. Step 5: Solve for x
    x = 35,680,862.39/6,189.84
  6. Step 6: Final answer
    x = 5,764.42

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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.