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Finding the Fourth Proportional to 9,839.66, 14,759.36 and 5,892.02

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Solution

The fourth proportional to 9,839.66, 14,759.36 and 5,892.02 is: 8,837.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,839.66 : 14,759.36 = 5,892.02 : x
  2. Step 2: Convert to fraction form
    9,839.66/14,759.36 = 5,892.02/x
  3. Step 3: Cross multiply
    9,839.66x = 14,759.36 × 5,892.02
  4. Step 4: Simplify right side
    9,839.66x = 86,962,341.05
  5. Step 5: Solve for x
    x = 86,962,341.05/9,839.66
  6. Step 6: Final answer
    x = 8,837.95

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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.