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Finding the Fourth Proportional to 9,137.88, 12,610.49 and 5,159.03

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Solution

The fourth proportional to 9,137.88, 12,610.49 and 5,159.03 is: 7,119.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.88 : 12,610.49 = 5,159.03 : x
  2. Step 2: Convert to fraction form
    9,137.88/12,610.49 = 5,159.03/x
  3. Step 3: Cross multiply
    9,137.88x = 12,610.49 × 5,159.03
  4. Step 4: Simplify right side
    9,137.88x = 65,057,807.38
  5. Step 5: Solve for x
    x = 65,057,807.38/9,137.88
  6. Step 6: Final answer
    x = 7,119.57

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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.