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Finding the Fourth Proportional to 6,915.48, 9,543.42 and 3,771.66

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Solution

The fourth proportional to 6,915.48, 9,543.42 and 3,771.66 is: 5,204.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,915.48 : 9,543.42 = 3,771.66 : x
  2. Step 2: Convert to fraction form
    6,915.48/9,543.42 = 3,771.66/x
  3. Step 3: Cross multiply
    6,915.48x = 9,543.42 × 3,771.66
  4. Step 4: Simplify right side
    6,915.48x = 35,994,535.48
  5. Step 5: Solve for x
    x = 35,994,535.48/6,915.48
  6. Step 6: Final answer
    x = 5,204.92

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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.