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Finding the Fourth Proportional to 6,323.52, 9,478.02 and 3,200.52

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Solution

The fourth proportional to 6,323.52, 9,478.02 and 3,200.52 is: 4,797.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.52 : 9,478.02 = 3,200.52 : x
  2. Step 2: Convert to fraction form
    6,323.52/9,478.02 = 3,200.52/x
  3. Step 3: Cross multiply
    6,323.52x = 9,478.02 × 3,200.52
  4. Step 4: Simplify right side
    6,323.52x = 30,334,592.57
  5. Step 5: Solve for x
    x = 30,334,592.57/6,323.52
  6. Step 6: Final answer
    x = 4,797.11

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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.