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Finding the Fourth Proportional to 9,600.88, 14,394.24 and 3,023.32

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Solution

The fourth proportional to 9,600.88, 14,394.24 and 3,023.32 is: 4,532.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.88 : 14,394.24 = 3,023.32 : x
  2. Step 2: Convert to fraction form
    9,600.88/14,394.24 = 3,023.32/x
  3. Step 3: Cross multiply
    9,600.88x = 14,394.24 × 3,023.32
  4. Step 4: Simplify right side
    9,600.88x = 43,518,393.68
  5. Step 5: Solve for x
    x = 43,518,393.68/9,600.88
  6. Step 6: Final answer
    x = 4,532.75

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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.