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Finding the Fourth Proportional to 6,915.81, 9,540.27 and 4,677.78

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Solution

The fourth proportional to 6,915.81, 9,540.27 and 4,677.78 is: 6,452.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,915.81 : 9,540.27 = 4,677.78 : x
  2. Step 2: Convert to fraction form
    6,915.81/9,540.27 = 4,677.78/x
  3. Step 3: Cross multiply
    6,915.81x = 9,540.27 × 4,677.78
  4. Step 4: Simplify right side
    6,915.81x = 44,627,284.20
  5. Step 5: Solve for x
    x = 44,627,284.20/6,915.81
  6. Step 6: Final answer
    x = 6,452.94

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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.