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Finding the Fourth Proportional to 8,967.44, 13,449.72 and 2,810

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Solution

The fourth proportional to 8,967.44, 13,449.72 and 2,810 is: 4,214.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,967.44 : 13,449.72 = 2,810 : x
  2. Step 2: Convert to fraction form
    8,967.44/13,449.72 = 2,810/x
  3. Step 3: Cross multiply
    8,967.44x = 13,449.72 × 2,810
  4. Step 4: Simplify right side
    8,967.44x = 37,793,713.20
  5. Step 5: Solve for x
    x = 37,793,713.20/8,967.44
  6. Step 6: Final answer
    x = 4,214.55

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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.