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Finding the Fourth Proportional to 6,915.46, 9,543.18 and 3,771.76

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Solution

The fourth proportional to 6,915.46, 9,543.18 and 3,771.76 is: 5,204.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,915.46 : 9,543.18 = 3,771.76 : x
  2. Step 2: Convert to fraction form
    6,915.46/9,543.18 = 3,771.76/x
  3. Step 3: Cross multiply
    6,915.46x = 9,543.18 × 3,771.76
  4. Step 4: Simplify right side
    6,915.46x = 35,994,584.60
  5. Step 5: Solve for x
    x = 35,994,584.60/6,915.46
  6. Step 6: Final answer
    x = 5,204.94

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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.