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Finding the Fourth Proportional to 6,449.68, 9,678.17 and 2,751.56

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Solution

The fourth proportional to 6,449.68, 9,678.17 and 2,751.56 is: 4,128.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.68 : 9,678.17 = 2,751.56 : x
  2. Step 2: Convert to fraction form
    6,449.68/9,678.17 = 2,751.56/x
  3. Step 3: Cross multiply
    6,449.68x = 9,678.17 × 2,751.56
  4. Step 4: Simplify right side
    6,449.68x = 26,630,065.45
  5. Step 5: Solve for x
    x = 26,630,065.45/6,449.68
  6. Step 6: Final answer
    x = 4,128.90

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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.