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Finding the Fourth Proportional to 6,829.40, 9,404.70 and 5,932.74

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Solution

The fourth proportional to 6,829.40, 9,404.70 and 5,932.74 is: 8,169.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,829.40 : 9,404.70 = 5,932.74 : x
  2. Step 2: Convert to fraction form
    6,829.40/9,404.70 = 5,932.74/x
  3. Step 3: Cross multiply
    6,829.40x = 9,404.70 × 5,932.74
  4. Step 4: Simplify right side
    6,829.40x = 55,795,639.88
  5. Step 5: Solve for x
    x = 55,795,639.88/6,829.40
  6. Step 6: Final answer
    x = 8,169.92

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