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Finding the Fourth Proportional to 9,138.24, 12,610.98 and 5,158.98

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Solution

The fourth proportional to 9,138.24, 12,610.98 and 5,158.98 is: 7,119.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.24 : 12,610.98 = 5,158.98 : x
  2. Step 2: Convert to fraction form
    9,138.24/12,610.98 = 5,158.98/x
  3. Step 3: Cross multiply
    9,138.24x = 12,610.98 × 5,158.98
  4. Step 4: Simplify right side
    9,138.24x = 65,059,793.60
  5. Step 5: Solve for x
    x = 65,059,793.60/9,138.24
  6. Step 6: Final answer
    x = 7,119.51

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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.