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Finding the Fourth Proportional to 9,137.97, 12,610.17 and 5,159.07

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Solution

The fourth proportional to 9,137.97, 12,610.17 and 5,159.07 is: 7,119.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.97 : 12,610.17 = 5,159.07 : x
  2. Step 2: Convert to fraction form
    9,137.97/12,610.17 = 5,159.07/x
  3. Step 3: Cross multiply
    9,137.97x = 12,610.17 × 5,159.07
  4. Step 4: Simplify right side
    9,137.97x = 65,056,749.74
  5. Step 5: Solve for x
    x = 65,056,749.74/9,137.97
  6. Step 6: Final answer
    x = 7,119.39

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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.