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Finding the Fourth Proportional to 9,002.31, 12,422.88 and 5,023.32

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Solution

The fourth proportional to 9,002.31, 12,422.88 and 5,023.32 is: 6,932.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,002.31 : 12,422.88 = 5,023.32 : x
  2. Step 2: Convert to fraction form
    9,002.31/12,422.88 = 5,023.32/x
  3. Step 3: Cross multiply
    9,002.31x = 12,422.88 × 5,023.32
  4. Step 4: Simplify right side
    9,002.31x = 62,404,101.56
  5. Step 5: Solve for x
    x = 62,404,101.56/9,002.31
  6. Step 6: Final answer
    x = 6,932.01

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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.