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Finding the Fourth Proportional to 9,102.49, 13,659.04 and 3,837.18

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Solution

The fourth proportional to 9,102.49, 13,659.04 and 3,837.18 is: 5,758.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.49 : 13,659.04 = 3,837.18 : x
  2. Step 2: Convert to fraction form
    9,102.49/13,659.04 = 3,837.18/x
  3. Step 3: Cross multiply
    9,102.49x = 13,659.04 × 3,837.18
  4. Step 4: Simplify right side
    9,102.49x = 52,412,141.49
  5. Step 5: Solve for x
    x = 52,412,141.49/9,102.49
  6. Step 6: Final answer
    x = 5,758.00

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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.