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Finding the Fourth Proportional to 6,429.16, 9,644.34 and 2,532.64

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Solution

The fourth proportional to 6,429.16, 9,644.34 and 2,532.64 is: 3,799.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.16 : 9,644.34 = 2,532.64 : x
  2. Step 2: Convert to fraction form
    6,429.16/9,644.34 = 2,532.64/x
  3. Step 3: Cross multiply
    6,429.16x = 9,644.34 × 2,532.64
  4. Step 4: Simplify right side
    6,429.16x = 24,425,641.26
  5. Step 5: Solve for x
    x = 24,425,641.26/6,429.16
  6. Step 6: Final answer
    x = 3,799.20

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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.