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Finding the Fourth Proportional to 6,535.77, 9,794.13 and 3,026.85

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Solution

The fourth proportional to 6,535.77, 9,794.13 and 3,026.85 is: 4,535.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.77 : 9,794.13 = 3,026.85 : x
  2. Step 2: Convert to fraction form
    6,535.77/9,794.13 = 3,026.85/x
  3. Step 3: Cross multiply
    6,535.77x = 9,794.13 × 3,026.85
  4. Step 4: Simplify right side
    6,535.77x = 29,645,362.39
  5. Step 5: Solve for x
    x = 29,645,362.39/6,535.77
  6. Step 6: Final answer
    x = 4,535.86

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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.