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Finding the Fourth Proportional to 6,909.64, 9,532.60 and 4,252.44

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Solution

The fourth proportional to 6,909.64, 9,532.60 and 4,252.44 is: 5,866.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.64 : 9,532.60 = 4,252.44 : x
  2. Step 2: Convert to fraction form
    6,909.64/9,532.60 = 4,252.44/x
  3. Step 3: Cross multiply
    6,909.64x = 9,532.60 × 4,252.44
  4. Step 4: Simplify right side
    6,909.64x = 40,536,809.54
  5. Step 5: Solve for x
    x = 40,536,809.54/6,909.64
  6. Step 6: Final answer
    x = 5,866.70

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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.