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Finding the Fourth Proportional to 9,375.12, 12,937.80 and 5,396.16

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Solution

The fourth proportional to 9,375.12, 12,937.80 and 5,396.16 is: 7,446.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,375.12 : 12,937.80 = 5,396.16 : x
  2. Step 2: Convert to fraction form
    9,375.12/12,937.80 = 5,396.16/x
  3. Step 3: Cross multiply
    9,375.12x = 12,937.80 × 5,396.16
  4. Step 4: Simplify right side
    9,375.12x = 69,814,438.85
  5. Step 5: Solve for x
    x = 69,814,438.85/9,375.12
  6. Step 6: Final answer
    x = 7,446.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.