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Finding the Fourth Proportional to 9,134.43, 13,702.32 and 2,894.92

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Solution

The fourth proportional to 9,134.43, 13,702.32 and 2,894.92 is: 4,342.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,134.43 : 13,702.32 = 2,894.92 : x
  2. Step 2: Convert to fraction form
    9,134.43/13,702.32 = 2,894.92/x
  3. Step 3: Cross multiply
    9,134.43x = 13,702.32 × 2,894.92
  4. Step 4: Simplify right side
    9,134.43x = 39,667,120.21
  5. Step 5: Solve for x
    x = 39,667,120.21/9,134.43
  6. Step 6: Final answer
    x = 4,342.59

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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.