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Finding the Fourth Proportional to 6,200.64, 9,296.88 and 3,532.29

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Solution

The fourth proportional to 6,200.64, 9,296.88 and 3,532.29 is: 5,296.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,200.64 : 9,296.88 = 3,532.29 : x
  2. Step 2: Convert to fraction form
    6,200.64/9,296.88 = 3,532.29/x
  3. Step 3: Cross multiply
    6,200.64x = 9,296.88 × 3,532.29
  4. Step 4: Simplify right side
    6,200.64x = 32,839,276.26
  5. Step 5: Solve for x
    x = 32,839,276.26/6,200.64
  6. Step 6: Final answer
    x = 5,296.11

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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.