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Finding the Fourth Proportional to 9,478.38, 13,079.52 and 5,229.18

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Solution

The fourth proportional to 9,478.38, 13,079.52 and 5,229.18 is: 7,215.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478.38 : 13,079.52 = 5,229.18 : x
  2. Step 2: Convert to fraction form
    9,478.38/13,079.52 = 5,229.18/x
  3. Step 3: Cross multiply
    9,478.38x = 13,079.52 × 5,229.18
  4. Step 4: Simplify right side
    9,478.38x = 68,395,164.39
  5. Step 5: Solve for x
    x = 68,395,164.39/9,478.38
  6. Step 6: Final answer
    x = 7,215.91

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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.