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Finding the Fourth Proportional to 6,250.75, 9,377.39 and 2,788

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Solution

The fourth proportional to 6,250.75, 9,377.39 and 2,788 is: 4,182.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,250.75 : 9,377.39 = 2,788 : x
  2. Step 2: Convert to fraction form
    6,250.75/9,377.39 = 2,788/x
  3. Step 3: Cross multiply
    6,250.75x = 9,377.39 × 2,788
  4. Step 4: Simplify right side
    6,250.75x = 26,144,163.32
  5. Step 5: Solve for x
    x = 26,144,163.32/6,250.75
  6. Step 6: Final answer
    x = 4,182.56

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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.