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Finding the Fourth Proportional to 9,839.53, 14,759.16 and 5,891.89

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Solution

The fourth proportional to 9,839.53, 14,759.16 and 5,891.89 is: 8,837.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,839.53 : 14,759.16 = 5,891.89 : x
  2. Step 2: Convert to fraction form
    9,839.53/14,759.16 = 5,891.89/x
  3. Step 3: Cross multiply
    9,839.53x = 14,759.16 × 5,891.89
  4. Step 4: Simplify right side
    9,839.53x = 86,959,347.21
  5. Step 5: Solve for x
    x = 86,959,347.21/9,839.53
  6. Step 6: Final answer
    x = 8,837.75

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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.