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Finding the Fourth Proportional to 6,504.71, 9,759.49 and 4,874.99

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Solution

The fourth proportional to 6,504.71, 9,759.49 and 4,874.99 is: 7,314.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.71 : 9,759.49 = 4,874.99 : x
  2. Step 2: Convert to fraction form
    6,504.71/9,759.49 = 4,874.99/x
  3. Step 3: Cross multiply
    6,504.71x = 9,759.49 × 4,874.99
  4. Step 4: Simplify right side
    6,504.71x = 47,577,355.17
  5. Step 5: Solve for x
    x = 47,577,355.17/6,504.71
  6. Step 6: Final answer
    x = 7,314.30

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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.