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Finding the Fourth Proportional to 9,731.50, 13,429.49 and 5,539.75

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Solution

The fourth proportional to 9,731.50, 13,429.49 and 5,539.75 is: 7,644.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,731.50 : 13,429.49 = 5,539.75 : x
  2. Step 2: Convert to fraction form
    9,731.50/13,429.49 = 5,539.75/x
  3. Step 3: Cross multiply
    9,731.50x = 13,429.49 × 5,539.75
  4. Step 4: Simplify right side
    9,731.50x = 74,396,017.23
  5. Step 5: Solve for x
    x = 74,396,017.23/9,731.50
  6. Step 6: Final answer
    x = 7,644.87

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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.