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Finding the Fourth Proportional to 6,212.80, 9,314.76 and 2,924.20

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Solution

The fourth proportional to 6,212.80, 9,314.76 and 2,924.20 is: 4,384.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,212.80 : 9,314.76 = 2,924.20 : x
  2. Step 2: Convert to fraction form
    6,212.80/9,314.76 = 2,924.20/x
  3. Step 3: Cross multiply
    6,212.80x = 9,314.76 × 2,924.20
  4. Step 4: Simplify right side
    6,212.80x = 27,238,221.19
  5. Step 5: Solve for x
    x = 27,238,221.19/6,212.80
  6. Step 6: Final answer
    x = 4,384.21

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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.