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Finding the Fourth Proportional to 9,138.39, 12,610.97 and 5,159.50

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Solution

The fourth proportional to 9,138.39, 12,610.97 and 5,159.50 is: 7,120.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.39 : 12,610.97 = 5,159.50 : x
  2. Step 2: Convert to fraction form
    9,138.39/12,610.97 = 5,159.50/x
  3. Step 3: Cross multiply
    9,138.39x = 12,610.97 × 5,159.50
  4. Step 4: Simplify right side
    9,138.39x = 65,066,290.76
  5. Step 5: Solve for x
    x = 65,066,290.76/9,138.39
  6. Step 6: Final answer
    x = 7,120.11

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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.