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Finding the Fourth Proportional to 9,369.08, 12,930 and 5,177.24

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Solution

The fourth proportional to 9,369.08, 12,930 and 5,177.24 is: 7,144.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,369.08 : 12,930 = 5,177.24 : x
  2. Step 2: Convert to fraction form
    9,369.08/12,930 = 5,177.24/x
  3. Step 3: Cross multiply
    9,369.08x = 12,930 × 5,177.24
  4. Step 4: Simplify right side
    9,369.08x = 66,941,713.20
  5. Step 5: Solve for x
    x = 66,941,713.20/9,369.08
  6. Step 6: Final answer
    x = 7,144.96

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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.