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Finding the Fourth Proportional to 9,433.82, 14,149.10 and 2,859.06

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Solution

The fourth proportional to 9,433.82, 14,149.10 and 2,859.06 is: 4,288.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,433.82 : 14,149.10 = 2,859.06 : x
  2. Step 2: Convert to fraction form
    9,433.82/14,149.10 = 2,859.06/x
  3. Step 3: Cross multiply
    9,433.82x = 14,149.10 × 2,859.06
  4. Step 4: Simplify right side
    9,433.82x = 40,453,125.85
  5. Step 5: Solve for x
    x = 40,453,125.85/9,433.82
  6. Step 6: Final answer
    x = 4,288.10

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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.