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Finding the Fourth Proportional to 9,398.57, 12,952.17 and 6,741.38

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Solution

The fourth proportional to 9,398.57, 12,952.17 and 6,741.38 is: 9,290.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,398.57 : 12,952.17 = 6,741.38 : x
  2. Step 2: Convert to fraction form
    9,398.57/12,952.17 = 6,741.38/x
  3. Step 3: Cross multiply
    9,398.57x = 12,952.17 × 6,741.38
  4. Step 4: Simplify right side
    9,398.57x = 87,315,499.79
  5. Step 5: Solve for x
    x = 87,315,499.79/9,398.57
  6. Step 6: Final answer
    x = 9,290.30

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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.