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Finding the Fourth Proportional to 6,932.76, 9,567.28 and 3,789

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Solution

The fourth proportional to 6,932.76, 9,567.28 and 3,789 is: 5,228.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,932.76 : 9,567.28 = 3,789 : x
  2. Step 2: Convert to fraction form
    6,932.76/9,567.28 = 3,789/x
  3. Step 3: Cross multiply
    6,932.76x = 9,567.28 × 3,789
  4. Step 4: Simplify right side
    6,932.76x = 36,250,423.92
  5. Step 5: Solve for x
    x = 36,250,423.92/6,932.76
  6. Step 6: Final answer
    x = 5,228.86

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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.