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Finding the Fourth Proportional to 9,071.38, 12,517.81 and 5,091.71

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Solution

The fourth proportional to 9,071.38, 12,517.81 and 5,091.71 is: 7,026.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,071.38 : 12,517.81 = 5,091.71 : x
  2. Step 2: Convert to fraction form
    9,071.38/12,517.81 = 5,091.71/x
  3. Step 3: Cross multiply
    9,071.38x = 12,517.81 × 5,091.71
  4. Step 4: Simplify right side
    9,071.38x = 63,737,053.45
  5. Step 5: Solve for x
    x = 63,737,053.45/9,071.38
  6. Step 6: Final answer
    x = 7,026.17

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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.