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Finding the Fourth Proportional to 8,977.66, 13,468.53 and 2,738.23

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Solution

The fourth proportional to 8,977.66, 13,468.53 and 2,738.23 is: 4,107.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,977.66 : 13,468.53 = 2,738.23 : x
  2. Step 2: Convert to fraction form
    8,977.66/13,468.53 = 2,738.23/x
  3. Step 3: Cross multiply
    8,977.66x = 13,468.53 × 2,738.23
  4. Step 4: Simplify right side
    8,977.66x = 36,879,932.90
  5. Step 5: Solve for x
    x = 36,879,932.90/8,977.66
  6. Step 6: Final answer
    x = 4,107.97

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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.