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Finding the Fourth Proportional to 9,112.38, 12,578.25 and 5,336.76

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Solution

The fourth proportional to 9,112.38, 12,578.25 and 5,336.76 is: 7,366.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,112.38 : 12,578.25 = 5,336.76 : x
  2. Step 2: Convert to fraction form
    9,112.38/12,578.25 = 5,336.76/x
  3. Step 3: Cross multiply
    9,112.38x = 12,578.25 × 5,336.76
  4. Step 4: Simplify right side
    9,112.38x = 67,127,101.47
  5. Step 5: Solve for x
    x = 67,127,101.47/9,112.38
  6. Step 6: Final answer
    x = 7,366.58

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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.