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Finding the Fourth Proportional to 6,876.62, 9,489.76 and 4,224.02

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Solution

The fourth proportional to 6,876.62, 9,489.76 and 4,224.02 is: 5,829.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.62 : 9,489.76 = 4,224.02 : x
  2. Step 2: Convert to fraction form
    6,876.62/9,489.76 = 4,224.02/x
  3. Step 3: Cross multiply
    6,876.62x = 9,489.76 × 4,224.02
  4. Step 4: Simplify right side
    6,876.62x = 40,084,936.04
  5. Step 5: Solve for x
    x = 40,084,936.04/6,876.62
  6. Step 6: Final answer
    x = 5,829.16

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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.