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Finding the Fourth Proportional to 9,065.48, 12,508.23 and 5,286.38

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Solution

The fourth proportional to 9,065.48, 12,508.23 and 5,286.38 is: 7,293.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,065.48 : 12,508.23 = 5,286.38 : x
  2. Step 2: Convert to fraction form
    9,065.48/12,508.23 = 5,286.38/x
  3. Step 3: Cross multiply
    9,065.48x = 12,508.23 × 5,286.38
  4. Step 4: Simplify right side
    9,065.48x = 66,123,256.91
  5. Step 5: Solve for x
    x = 66,123,256.91/9,065.48
  6. Step 6: Final answer
    x = 7,293.96

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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.