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Finding the Fourth Proportional to 6,222.84, 9,331.04 and 1,839.76

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Solution

The fourth proportional to 6,222.84, 9,331.04 and 1,839.76 is: 2,758.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,222.84 : 9,331.04 = 1,839.76 : x
  2. Step 2: Convert to fraction form
    6,222.84/9,331.04 = 1,839.76/x
  3. Step 3: Cross multiply
    6,222.84x = 9,331.04 × 1,839.76
  4. Step 4: Simplify right side
    6,222.84x = 17,166,874.15
  5. Step 5: Solve for x
    x = 17,166,874.15/6,222.84
  6. Step 6: Final answer
    x = 2,758.69

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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.