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Finding the Fourth Proportional to 9,138.74, 12,610.82 and 5,159.07

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Solution

The fourth proportional to 9,138.74, 12,610.82 and 5,159.07 is: 7,119.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.74 : 12,610.82 = 5,159.07 : x
  2. Step 2: Convert to fraction form
    9,138.74/12,610.82 = 5,159.07/x
  3. Step 3: Cross multiply
    9,138.74x = 12,610.82 × 5,159.07
  4. Step 4: Simplify right side
    9,138.74x = 65,060,116.04
  5. Step 5: Solve for x
    x = 65,060,116.04/9,138.74
  6. Step 6: Final answer
    x = 7,119.16

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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.