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Finding the Fourth Proportional to 9,406.26, 14,098.32 and 3,856.86

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Solution

The fourth proportional to 9,406.26, 14,098.32 and 3,856.86 is: 5,780.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,406.26 : 14,098.32 = 3,856.86 : x
  2. Step 2: Convert to fraction form
    9,406.26/14,098.32 = 3,856.86/x
  3. Step 3: Cross multiply
    9,406.26x = 14,098.32 × 3,856.86
  4. Step 4: Simplify right side
    9,406.26x = 54,375,246.48
  5. Step 5: Solve for x
    x = 54,375,246.48/9,406.26
  6. Step 6: Final answer
    x = 5,780.75

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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.