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Finding the Fourth Proportional to 6,349.20, 9,516.99 and 2,648.64

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Solution

The fourth proportional to 6,349.20, 9,516.99 and 2,648.64 is: 3,970.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349.20 : 9,516.99 = 2,648.64 : x
  2. Step 2: Convert to fraction form
    6,349.20/9,516.99 = 2,648.64/x
  3. Step 3: Cross multiply
    6,349.20x = 9,516.99 × 2,648.64
  4. Step 4: Simplify right side
    6,349.20x = 25,207,080.39
  5. Step 5: Solve for x
    x = 25,207,080.39/6,349.20
  6. Step 6: Final answer
    x = 3,970.12

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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.