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Finding the Fourth Proportional to 9,422.31, 13,002.89 and 5,230.56

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Solution

The fourth proportional to 9,422.31, 13,002.89 and 5,230.56 is: 7,218.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,422.31 : 13,002.89 = 5,230.56 : x
  2. Step 2: Convert to fraction form
    9,422.31/13,002.89 = 5,230.56/x
  3. Step 3: Cross multiply
    9,422.31x = 13,002.89 × 5,230.56
  4. Step 4: Simplify right side
    9,422.31x = 68,012,396.32
  5. Step 5: Solve for x
    x = 68,012,396.32/9,422.31
  6. Step 6: Final answer
    x = 7,218.23

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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.