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Finding the Fourth Proportional to 9,299.88, 13,954.62 and 6,182.04

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Solution

The fourth proportional to 9,299.88, 13,954.62 and 6,182.04 is: 9,276.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,299.88 : 13,954.62 = 6,182.04 : x
  2. Step 2: Convert to fraction form
    9,299.88/13,954.62 = 6,182.04/x
  3. Step 3: Cross multiply
    9,299.88x = 13,954.62 × 6,182.04
  4. Step 4: Simplify right side
    9,299.88x = 86,268,019.02
  5. Step 5: Solve for x
    x = 86,268,019.02/9,299.88
  6. Step 6: Final answer
    x = 9,276.25

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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.