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Finding the Fourth Proportional to 6,477.41, 9,716.13 and 2,584.55

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Solution

The fourth proportional to 6,477.41, 9,716.13 and 2,584.55 is: 3,876.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.41 : 9,716.13 = 2,584.55 : x
  2. Step 2: Convert to fraction form
    6,477.41/9,716.13 = 2,584.55/x
  3. Step 3: Cross multiply
    6,477.41x = 9,716.13 × 2,584.55
  4. Step 4: Simplify right side
    6,477.41x = 25,111,823.79
  5. Step 5: Solve for x
    x = 25,111,823.79/6,477.41
  6. Step 6: Final answer
    x = 3,876.83

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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.