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Finding the Fourth Proportional to 6,445.80, 9,668.82 and 5,162.76

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Solution

The fourth proportional to 6,445.80, 9,668.82 and 5,162.76 is: 7,744.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,445.80 : 9,668.82 = 5,162.76 : x
  2. Step 2: Convert to fraction form
    6,445.80/9,668.82 = 5,162.76/x
  3. Step 3: Cross multiply
    6,445.80x = 9,668.82 × 5,162.76
  4. Step 4: Simplify right side
    6,445.80x = 49,917,797.14
  5. Step 5: Solve for x
    x = 49,917,797.14/6,445.80
  6. Step 6: Final answer
    x = 7,744.24

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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.