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Finding the Fourth Proportional to 6,312.87, 9,469.35 and 1,930.41

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Solution

The fourth proportional to 6,312.87, 9,469.35 and 1,930.41 is: 2,895.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,312.87 : 9,469.35 = 1,930.41 : x
  2. Step 2: Convert to fraction form
    6,312.87/9,469.35 = 1,930.41/x
  3. Step 3: Cross multiply
    6,312.87x = 9,469.35 × 1,930.41
  4. Step 4: Simplify right side
    6,312.87x = 18,279,727.93
  5. Step 5: Solve for x
    x = 18,279,727.93/6,312.87
  6. Step 6: Final answer
    x = 2,895.63

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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.