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Finding the Fourth Proportional to 6,366.84, 9,551.64 and 2,618.64

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Solution

The fourth proportional to 6,366.84, 9,551.64 and 2,618.64 is: 3,928.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,366.84 : 9,551.64 = 2,618.64 : x
  2. Step 2: Convert to fraction form
    6,366.84/9,551.64 = 2,618.64/x
  3. Step 3: Cross multiply
    6,366.84x = 9,551.64 × 2,618.64
  4. Step 4: Simplify right side
    6,366.84x = 25,012,306.57
  5. Step 5: Solve for x
    x = 25,012,306.57/6,366.84
  6. Step 6: Final answer
    x = 3,928.53

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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.