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Finding the Fourth Proportional to 9,002.75, 12,425.20 and 5,225.92

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Solution

The fourth proportional to 9,002.75, 12,425.20 and 5,225.92 is: 7,212.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,002.75 : 12,425.20 = 5,225.92 : x
  2. Step 2: Convert to fraction form
    9,002.75/12,425.20 = 5,225.92/x
  3. Step 3: Cross multiply
    9,002.75x = 12,425.20 × 5,225.92
  4. Step 4: Simplify right side
    9,002.75x = 64,933,057.06
  5. Step 5: Solve for x
    x = 64,933,057.06/9,002.75
  6. Step 6: Final answer
    x = 7,212.58

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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.