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Finding the Fourth Proportional to 6,932.49, 9,566.82 and 3,788.70

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Solution

The fourth proportional to 6,932.49, 9,566.82 and 3,788.70 is: 5,228.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,932.49 : 9,566.82 = 3,788.70 : x
  2. Step 2: Convert to fraction form
    6,932.49/9,566.82 = 3,788.70/x
  3. Step 3: Cross multiply
    6,932.49x = 9,566.82 × 3,788.70
  4. Step 4: Simplify right side
    6,932.49x = 36,245,810.93
  5. Step 5: Solve for x
    x = 36,245,810.93/6,932.49
  6. Step 6: Final answer
    x = 5,228.40

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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.