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Finding the Fourth Proportional to 9,138.44, 12,610.96 and 5,159.48

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Solution

The fourth proportional to 9,138.44, 12,610.96 and 5,159.48 is: 7,120.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.44 : 12,610.96 = 5,159.48 : x
  2. Step 2: Convert to fraction form
    9,138.44/12,610.96 = 5,159.48/x
  3. Step 3: Cross multiply
    9,138.44x = 12,610.96 × 5,159.48
  4. Step 4: Simplify right side
    9,138.44x = 65,065,995.90
  5. Step 5: Solve for x
    x = 65,065,995.90/9,138.44
  6. Step 6: Final answer
    x = 7,120.03

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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.