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Finding the Fourth Proportional to 9,113.30, 12,576.41 and 5,134.49

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Solution

The fourth proportional to 9,113.30, 12,576.41 and 5,134.49 is: 7,085.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,113.30 : 12,576.41 = 5,134.49 : x
  2. Step 2: Convert to fraction form
    9,113.30/12,576.41 = 5,134.49/x
  3. Step 3: Cross multiply
    9,113.30x = 12,576.41 × 5,134.49
  4. Step 4: Simplify right side
    9,113.30x = 64,573,451.38
  5. Step 5: Solve for x
    x = 64,573,451.38/9,113.30
  6. Step 6: Final answer
    x = 7,085.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.