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Finding the Fourth Proportional to 9,139.26, 13,690.62 and 4,202.13

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Solution

The fourth proportional to 9,139.26, 13,690.62 and 4,202.13 is: 6,294.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,139.26 : 13,690.62 = 4,202.13 : x
  2. Step 2: Convert to fraction form
    9,139.26/13,690.62 = 4,202.13/x
  3. Step 3: Cross multiply
    9,139.26x = 13,690.62 × 4,202.13
  4. Step 4: Simplify right side
    9,139.26x = 57,529,765.02
  5. Step 5: Solve for x
    x = 57,529,765.02/9,139.26
  6. Step 6: Final answer
    x = 6,294.79

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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.