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Finding the Fourth Proportional to 6,915.60, 9,543.66 and 3,771.78

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Solution

The fourth proportional to 6,915.60, 9,543.66 and 3,771.78 is: 5,205.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,915.60 : 9,543.66 = 3,771.78 : x
  2. Step 2: Convert to fraction form
    6,915.60/9,543.66 = 3,771.78/x
  3. Step 3: Cross multiply
    6,915.60x = 9,543.66 × 3,771.78
  4. Step 4: Simplify right side
    6,915.60x = 35,996,585.91
  5. Step 5: Solve for x
    x = 35,996,585.91/6,915.60
  6. Step 6: Final answer
    x = 5,205.13

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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.