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Finding the Fourth Proportional to 9,159.32, 12,635.34 and 6,171.32

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Solution

The fourth proportional to 9,159.32, 12,635.34 and 6,171.32 is: 8,513.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,159.32 : 12,635.34 = 6,171.32 : x
  2. Step 2: Convert to fraction form
    9,159.32/12,635.34 = 6,171.32/x
  3. Step 3: Cross multiply
    9,159.32x = 12,635.34 × 6,171.32
  4. Step 4: Simplify right side
    9,159.32x = 77,976,726.45
  5. Step 5: Solve for x
    x = 77,976,726.45/9,159.32
  6. Step 6: Final answer
    x = 8,513.38

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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.