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Finding the Fourth Proportional to 6,711.21, 9,265.95 and 4,196.88

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Solution

The fourth proportional to 6,711.21, 9,265.95 and 4,196.88 is: 5,794.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.21 : 9,265.95 = 4,196.88 : x
  2. Step 2: Convert to fraction form
    6,711.21/9,265.95 = 4,196.88/x
  3. Step 3: Cross multiply
    6,711.21x = 9,265.95 × 4,196.88
  4. Step 4: Simplify right side
    6,711.21x = 38,888,080.24
  5. Step 5: Solve for x
    x = 38,888,080.24/6,711.21
  6. Step 6: Final answer
    x = 5,794.50

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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.