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Finding the Fourth Proportional to 8,134.95, 12,202.85 and 2,292.01

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Solution

The fourth proportional to 8,134.95, 12,202.85 and 2,292.01 is: 3,438.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.95 : 12,202.85 = 2,292.01 : x
  2. Step 2: Convert to fraction form
    8,134.95/12,202.85 = 2,292.01/x
  3. Step 3: Cross multiply
    8,134.95x = 12,202.85 × 2,292.01
  4. Step 4: Simplify right side
    8,134.95x = 27,969,098.09
  5. Step 5: Solve for x
    x = 27,969,098.09/8,134.95
  6. Step 6: Final answer
    x = 3,438.14

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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.