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Finding the Fourth Proportional to 9,143.52, 13,712.88 and 3,299.04

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Solution

The fourth proportional to 9,143.52, 13,712.88 and 3,299.04 is: 4,947.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,143.52 : 13,712.88 = 3,299.04 : x
  2. Step 2: Convert to fraction form
    9,143.52/13,712.88 = 3,299.04/x
  3. Step 3: Cross multiply
    9,143.52x = 13,712.88 × 3,299.04
  4. Step 4: Simplify right side
    9,143.52x = 45,239,339.64
  5. Step 5: Solve for x
    x = 45,239,339.64/9,143.52
  6. Step 6: Final answer
    x = 4,947.69

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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.