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Finding the Fourth Proportional to 6,915.42, 9,543.51 and 3,771.78

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Solution

The fourth proportional to 6,915.42, 9,543.51 and 3,771.78 is: 5,205.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,915.42 : 9,543.51 = 3,771.78 : x
  2. Step 2: Convert to fraction form
    6,915.42/9,543.51 = 3,771.78/x
  3. Step 3: Cross multiply
    6,915.42x = 9,543.51 × 3,771.78
  4. Step 4: Simplify right side
    6,915.42x = 35,996,020.15
  5. Step 5: Solve for x
    x = 35,996,020.15/6,915.42
  6. Step 6: Final answer
    x = 5,205.18

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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.