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Finding the Fourth Proportional to 9,135.17, 12,606.46 and 5,156.25

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Solution

The fourth proportional to 9,135.17, 12,606.46 and 5,156.25 is: 7,115.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,135.17 : 12,606.46 = 5,156.25 : x
  2. Step 2: Convert to fraction form
    9,135.17/12,606.46 = 5,156.25/x
  3. Step 3: Cross multiply
    9,135.17x = 12,606.46 × 5,156.25
  4. Step 4: Simplify right side
    9,135.17x = 65,002,059.38
  5. Step 5: Solve for x
    x = 65,002,059.38/9,135.17
  6. Step 6: Final answer
    x = 7,115.58

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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.