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Finding the Fourth Proportional to 9,686.97, 14,525.66 and 3,446.05

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Solution

The fourth proportional to 9,686.97, 14,525.66 and 3,446.05 is: 5,167.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.97 : 14,525.66 = 3,446.05 : x
  2. Step 2: Convert to fraction form
    9,686.97/14,525.66 = 3,446.05/x
  3. Step 3: Cross multiply
    9,686.97x = 14,525.66 × 3,446.05
  4. Step 4: Simplify right side
    9,686.97x = 50,056,150.64
  5. Step 5: Solve for x
    x = 50,056,150.64/9,686.97
  6. Step 6: Final answer
    x = 5,167.37

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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.