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Finding the Fourth Proportional to 9,489.12, 13,092.06 and 6,133.80

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Solution

The fourth proportional to 9,489.12, 13,092.06 and 6,133.80 is: 8,462.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489.12 : 13,092.06 = 6,133.80 : x
  2. Step 2: Convert to fraction form
    9,489.12/13,092.06 = 6,133.80/x
  3. Step 3: Cross multiply
    9,489.12x = 13,092.06 × 6,133.80
  4. Step 4: Simplify right side
    9,489.12x = 80,304,077.63
  5. Step 5: Solve for x
    x = 80,304,077.63/9,489.12
  6. Step 6: Final answer
    x = 8,462.75

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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.