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Finding the Fourth Proportional to 9,119.52, 13,679.82 and 2,546.10

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Solution

The fourth proportional to 9,119.52, 13,679.82 and 2,546.10 is: 3,819.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,119.52 : 13,679.82 = 2,546.10 : x
  2. Step 2: Convert to fraction form
    9,119.52/13,679.82 = 2,546.10/x
  3. Step 3: Cross multiply
    9,119.52x = 13,679.82 × 2,546.10
  4. Step 4: Simplify right side
    9,119.52x = 34,830,189.70
  5. Step 5: Solve for x
    x = 34,830,189.70/9,119.52
  6. Step 6: Final answer
    x = 3,819.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.