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Finding the Fourth Proportional to 10,446.98, 14,418.10 and 5,969.70

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Solution

The fourth proportional to 10,446.98, 14,418.10 and 5,969.70 is: 8,238.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446.98 : 14,418.10 = 5,969.70 : x
  2. Step 2: Convert to fraction form
    10,446.98/14,418.10 = 5,969.70/x
  3. Step 3: Cross multiply
    10,446.98x = 14,418.10 × 5,969.70
  4. Step 4: Simplify right side
    10,446.98x = 86,071,731.57
  5. Step 5: Solve for x
    x = 86,071,731.57/10,446.98
  6. Step 6: Final answer
    x = 8,238.91

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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.