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Finding the Fourth Proportional to 6,176.80, 9,265.20 and 2,713.12

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Solution

The fourth proportional to 6,176.80, 9,265.20 and 2,713.12 is: 4,069.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,176.80 : 9,265.20 = 2,713.12 : x
  2. Step 2: Convert to fraction form
    6,176.80/9,265.20 = 2,713.12/x
  3. Step 3: Cross multiply
    6,176.80x = 9,265.20 × 2,713.12
  4. Step 4: Simplify right side
    6,176.80x = 25,137,599.42
  5. Step 5: Solve for x
    x = 25,137,599.42/6,176.80
  6. Step 6: Final answer
    x = 4,069.68

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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.