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Finding the Fourth Proportional to 9,817.83, 13,546.76 and 5,839.92

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Solution

The fourth proportional to 9,817.83, 13,546.76 and 5,839.92 is: 8,057.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,817.83 : 13,546.76 = 5,839.92 : x
  2. Step 2: Convert to fraction form
    9,817.83/13,546.76 = 5,839.92/x
  3. Step 3: Cross multiply
    9,817.83x = 13,546.76 × 5,839.92
  4. Step 4: Simplify right side
    9,817.83x = 79,111,941.53
  5. Step 5: Solve for x
    x = 79,111,941.53/9,817.83
  6. Step 6: Final answer
    x = 8,057.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.