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Finding the Fourth Proportional to 6,764.68, 9,335.22 and 3,780.52

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Solution

The fourth proportional to 6,764.68, 9,335.22 and 3,780.52 is: 5,217.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,764.68 : 9,335.22 = 3,780.52 : x
  2. Step 2: Convert to fraction form
    6,764.68/9,335.22 = 3,780.52/x
  3. Step 3: Cross multiply
    6,764.68x = 9,335.22 × 3,780.52
  4. Step 4: Simplify right side
    6,764.68x = 35,291,985.91
  5. Step 5: Solve for x
    x = 35,291,985.91/6,764.68
  6. Step 6: Final answer
    x = 5,217.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.