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Finding the Fourth Proportional to 6,567.70, 9,851.55 and 3,281.30

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Solution

The fourth proportional to 6,567.70, 9,851.55 and 3,281.30 is: 4,921.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567.70 : 9,851.55 = 3,281.30 : x
  2. Step 2: Convert to fraction form
    6,567.70/9,851.55 = 3,281.30/x
  3. Step 3: Cross multiply
    6,567.70x = 9,851.55 × 3,281.30
  4. Step 4: Simplify right side
    6,567.70x = 32,325,891.02
  5. Step 5: Solve for x
    x = 32,325,891.02/6,567.70
  6. Step 6: Final answer
    x = 4,921.95

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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.