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Finding the Fourth Proportional to 6,915.60, 9,543.06 and 3,771.72

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Solution

The fourth proportional to 6,915.60, 9,543.06 and 3,771.72 is: 5,204.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,915.60 : 9,543.06 = 3,771.72 : x
  2. Step 2: Convert to fraction form
    6,915.60/9,543.06 = 3,771.72/x
  3. Step 3: Cross multiply
    6,915.60x = 9,543.06 × 3,771.72
  4. Step 4: Simplify right side
    6,915.60x = 35,993,750.26
  5. Step 5: Solve for x
    x = 35,993,750.26/6,915.60
  6. Step 6: Final answer
    x = 5,204.72

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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.