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Finding the Fourth Proportional to 9,138.81, 12,610.48 and 5,159.69

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Solution

The fourth proportional to 9,138.81, 12,610.48 and 5,159.69 is: 7,119.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.81 : 12,610.48 = 5,159.69 : x
  2. Step 2: Convert to fraction form
    9,138.81/12,610.48 = 5,159.69/x
  3. Step 3: Cross multiply
    9,138.81x = 12,610.48 × 5,159.69
  4. Step 4: Simplify right side
    9,138.81x = 65,066,167.55
  5. Step 5: Solve for x
    x = 65,066,167.55/9,138.81
  6. Step 6: Final answer
    x = 7,119.76

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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.