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Finding the Fourth Proportional to 9,076.32, 12,517.56 and 7,666.88

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Solution

The fourth proportional to 9,076.32, 12,517.56 and 7,666.88 is: 10,573.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,076.32 : 12,517.56 = 7,666.88 : x
  2. Step 2: Convert to fraction form
    9,076.32/12,517.56 = 7,666.88/x
  3. Step 3: Cross multiply
    9,076.32x = 12,517.56 × 7,666.88
  4. Step 4: Simplify right side
    9,076.32x = 95,970,630.41
  5. Step 5: Solve for x
    x = 95,970,630.41/9,076.32
  6. Step 6: Final answer
    x = 10,573.74

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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.