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Finding the Fourth Proportional to 9,352.38, 12,906.55 and 5,160.90

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Solution

The fourth proportional to 9,352.38, 12,906.55 and 5,160.90 is: 7,122.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,352.38 : 12,906.55 = 5,160.90 : x
  2. Step 2: Convert to fraction form
    9,352.38/12,906.55 = 5,160.90/x
  3. Step 3: Cross multiply
    9,352.38x = 12,906.55 × 5,160.90
  4. Step 4: Simplify right side
    9,352.38x = 66,609,349.36
  5. Step 5: Solve for x
    x = 66,609,349.36/9,352.38
  6. Step 6: Final answer
    x = 7,122.19

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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.