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Finding the Fourth Proportional to 9,429.92, 14,144.28 and 2,856.32

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Solution

The fourth proportional to 9,429.92, 14,144.28 and 2,856.32 is: 4,284.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,429.92 : 14,144.28 = 2,856.32 : x
  2. Step 2: Convert to fraction form
    9,429.92/14,144.28 = 2,856.32/x
  3. Step 3: Cross multiply
    9,429.92x = 14,144.28 × 2,856.32
  4. Step 4: Simplify right side
    9,429.92x = 40,400,589.85
  5. Step 5: Solve for x
    x = 40,400,589.85/9,429.92
  6. Step 6: Final answer
    x = 4,284.30

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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.