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Finding the Fourth Proportional to 10,267.97, 14,169.94 and 6,287.63

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Solution

The fourth proportional to 10,267.97, 14,169.94 and 6,287.63 is: 8,677.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,267.97 : 14,169.94 = 6,287.63 : x
  2. Step 2: Convert to fraction form
    10,267.97/14,169.94 = 6,287.63/x
  3. Step 3: Cross multiply
    10,267.97x = 14,169.94 × 6,287.63
  4. Step 4: Simplify right side
    10,267.97x = 89,095,253.27
  5. Step 5: Solve for x
    x = 89,095,253.27/10,267.97
  6. Step 6: Final answer
    x = 8,677.01

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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.