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Finding the Fourth Proportional to 9,143.94, 13,713.06 and 3,299.78

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Solution

The fourth proportional to 9,143.94, 13,713.06 and 3,299.78 is: 4,948.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,143.94 : 13,713.06 = 3,299.78 : x
  2. Step 2: Convert to fraction form
    9,143.94/13,713.06 = 3,299.78/x
  3. Step 3: Cross multiply
    9,143.94x = 13,713.06 × 3,299.78
  4. Step 4: Simplify right side
    9,143.94x = 45,250,081.13
  5. Step 5: Solve for x
    x = 45,250,081.13/9,143.94
  6. Step 6: Final answer
    x = 4,948.64

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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.