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Finding the Fourth Proportional to 8,209.32, 12,315.82 and 3,281.28

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Solution

The fourth proportional to 8,209.32, 12,315.82 and 3,281.28 is: 4,922.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.32 : 12,315.82 = 3,281.28 : x
  2. Step 2: Convert to fraction form
    8,209.32/12,315.82 = 3,281.28/x
  3. Step 3: Cross multiply
    8,209.32x = 12,315.82 × 3,281.28
  4. Step 4: Simplify right side
    8,209.32x = 40,411,653.85
  5. Step 5: Solve for x
    x = 40,411,653.85/8,209.32
  6. Step 6: Final answer
    x = 4,922.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.