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Finding the Fourth Proportional to 9,859.67, 14,789.22 and 2,839.71

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Solution

The fourth proportional to 9,859.67, 14,789.22 and 2,839.71 is: 4,259.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,859.67 : 14,789.22 = 2,839.71 : x
  2. Step 2: Convert to fraction form
    9,859.67/14,789.22 = 2,839.71/x
  3. Step 3: Cross multiply
    9,859.67x = 14,789.22 × 2,839.71
  4. Step 4: Simplify right side
    9,859.67x = 41,997,095.93
  5. Step 5: Solve for x
    x = 41,997,095.93/9,859.67
  6. Step 6: Final answer
    x = 4,259.48

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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.