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Finding the Fourth Proportional to 9,242.70, 13,862 and 2,667.45

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Solution

The fourth proportional to 9,242.70, 13,862 and 2,667.45 is: 4,000.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242.70 : 13,862 = 2,667.45 : x
  2. Step 2: Convert to fraction form
    9,242.70/13,862 = 2,667.45/x
  3. Step 3: Cross multiply
    9,242.70x = 13,862 × 2,667.45
  4. Step 4: Simplify right side
    9,242.70x = 36,976,191.90
  5. Step 5: Solve for x
    x = 36,976,191.90/9,242.70
  6. Step 6: Final answer
    x = 4,000.59

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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.