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Finding the Fourth Proportional to 9,967.80, 13,753.08 and 6,426.75

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Solution

The fourth proportional to 9,967.80, 13,753.08 and 6,426.75 is: 8,867.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.80 : 13,753.08 = 6,426.75 : x
  2. Step 2: Convert to fraction form
    9,967.80/13,753.08 = 6,426.75/x
  3. Step 3: Cross multiply
    9,967.80x = 13,753.08 × 6,426.75
  4. Step 4: Simplify right side
    9,967.80x = 88,387,606.89
  5. Step 5: Solve for x
    x = 88,387,606.89/9,967.80
  6. Step 6: Final answer
    x = 8,867.31

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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.