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Finding the Fourth Proportional to 9,358.83, 14,033.86 and 3,434.24

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Solution

The fourth proportional to 9,358.83, 14,033.86 and 3,434.24 is: 5,149.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,358.83 : 14,033.86 = 3,434.24 : x
  2. Step 2: Convert to fraction form
    9,358.83/14,033.86 = 3,434.24/x
  3. Step 3: Cross multiply
    9,358.83x = 14,033.86 × 3,434.24
  4. Step 4: Simplify right side
    9,358.83x = 48,195,643.37
  5. Step 5: Solve for x
    x = 48,195,643.37/9,358.83
  6. Step 6: Final answer
    x = 5,149.75

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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.