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Finding the Fourth Proportional to 9,113.62, 12,576.72 and 5,135.44

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Solution

The fourth proportional to 9,113.62, 12,576.72 and 5,135.44 is: 7,086.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,113.62 : 12,576.72 = 5,135.44 : x
  2. Step 2: Convert to fraction form
    9,113.62/12,576.72 = 5,135.44/x
  3. Step 3: Cross multiply
    9,113.62x = 12,576.72 × 5,135.44
  4. Step 4: Simplify right side
    9,113.62x = 64,586,990.96
  5. Step 5: Solve for x
    x = 64,586,990.96/9,113.62
  6. Step 6: Final answer
    x = 7,086.86

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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.