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Finding the Fourth Proportional to 6,567.15, 9,842.18 and 2,667

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Solution

The fourth proportional to 6,567.15, 9,842.18 and 2,667 is: 3,997.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567.15 : 9,842.18 = 2,667 : x
  2. Step 2: Convert to fraction form
    6,567.15/9,842.18 = 2,667/x
  3. Step 3: Cross multiply
    6,567.15x = 9,842.18 × 2,667
  4. Step 4: Simplify right side
    6,567.15x = 26,249,080.73
  5. Step 5: Solve for x
    x = 26,249,080.73/6,567.15
  6. Step 6: Final answer
    x = 3,997.03

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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.