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Finding the Fourth Proportional to 6,772.65, 9,346.08 and 3,788.61

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Solution

The fourth proportional to 6,772.65, 9,346.08 and 3,788.61 is: 5,228.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,772.65 : 9,346.08 = 3,788.61 : x
  2. Step 2: Convert to fraction form
    6,772.65/9,346.08 = 3,788.61/x
  3. Step 3: Cross multiply
    6,772.65x = 9,346.08 × 3,788.61
  4. Step 4: Simplify right side
    6,772.65x = 35,408,605.42
  5. Step 5: Solve for x
    x = 35,408,605.42/6,772.65
  6. Step 6: Final answer
    x = 5,228.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.