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Finding the Fourth Proportional to 9,138.18, 12,589.11 and 7,534.38

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Solution

The fourth proportional to 9,138.18, 12,589.11 and 7,534.38 is: 10,379.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.18 : 12,589.11 = 7,534.38 : x
  2. Step 2: Convert to fraction form
    9,138.18/12,589.11 = 7,534.38/x
  3. Step 3: Cross multiply
    9,138.18x = 12,589.11 × 7,534.38
  4. Step 4: Simplify right side
    9,138.18x = 94,851,138.60
  5. Step 5: Solve for x
    x = 94,851,138.60/9,138.18
  6. Step 6: Final answer
    x = 10,379.65

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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.