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Finding the Fourth Proportional to 6,565.82, 9,843.61 and 3,277.26

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Solution

The fourth proportional to 6,565.82, 9,843.61 and 3,277.26 is: 4,913.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.82 : 9,843.61 = 3,277.26 : x
  2. Step 2: Convert to fraction form
    6,565.82/9,843.61 = 3,277.26/x
  3. Step 3: Cross multiply
    6,565.82x = 9,843.61 × 3,277.26
  4. Step 4: Simplify right side
    6,565.82x = 32,260,069.31
  5. Step 5: Solve for x
    x = 32,260,069.31/6,565.82
  6. Step 6: Final answer
    x = 4,913.33

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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.