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Finding the Fourth Proportional to 6,764.24, 9,335.02 and 3,780.08

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Solution

The fourth proportional to 6,764.24, 9,335.02 and 3,780.08 is: 5,216.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,764.24 : 9,335.02 = 3,780.08 : x
  2. Step 2: Convert to fraction form
    6,764.24/9,335.02 = 3,780.08/x
  3. Step 3: Cross multiply
    6,764.24x = 9,335.02 × 3,780.08
  4. Step 4: Simplify right side
    6,764.24x = 35,287,122.40
  5. Step 5: Solve for x
    x = 35,287,122.40/6,764.24
  6. Step 6: Final answer
    x = 5,216.72

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