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Finding the Fourth Proportional to 9,375.25, 12,941.11 and 5,397.95

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Solution

The fourth proportional to 9,375.25, 12,941.11 and 5,397.95 is: 7,451.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,375.25 : 12,941.11 = 5,397.95 : x
  2. Step 2: Convert to fraction form
    9,375.25/12,941.11 = 5,397.95/x
  3. Step 3: Cross multiply
    9,375.25x = 12,941.11 × 5,397.95
  4. Step 4: Simplify right side
    9,375.25x = 69,855,438.01
  5. Step 5: Solve for x
    x = 69,855,438.01/9,375.25
  6. Step 6: Final answer
    x = 7,451.05

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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.