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Finding the Fourth Proportional to 10,198.84, 14,072.70 and 6,847.24

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Solution

The fourth proportional to 10,198.84, 14,072.70 and 6,847.24 is: 9,448.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,198.84 : 14,072.70 = 6,847.24 : x
  2. Step 2: Convert to fraction form
    10,198.84/14,072.70 = 6,847.24/x
  3. Step 3: Cross multiply
    10,198.84x = 14,072.70 × 6,847.24
  4. Step 4: Simplify right side
    10,198.84x = 96,359,154.35
  5. Step 5: Solve for x
    x = 96,359,154.35/10,198.84
  6. Step 6: Final answer
    x = 9,448.05

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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.