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Finding the Fourth Proportional to 6,400.61, 9,609.87 and 3,282.81

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Solution

The fourth proportional to 6,400.61, 9,609.87 and 3,282.81 is: 4,928.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.61 : 9,609.87 = 3,282.81 : x
  2. Step 2: Convert to fraction form
    6,400.61/9,609.87 = 3,282.81/x
  3. Step 3: Cross multiply
    6,400.61x = 9,609.87 × 3,282.81
  4. Step 4: Simplify right side
    6,400.61x = 31,547,377.33
  5. Step 5: Solve for x
    x = 31,547,377.33/6,400.61
  6. Step 6: Final answer
    x = 4,928.81

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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.