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Finding the Fourth Proportional to 9,952.57, 13,734.87 and 5,476.83

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Solution

The fourth proportional to 9,952.57, 13,734.87 and 5,476.83 is: 7,558.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952.57 : 13,734.87 = 5,476.83 : x
  2. Step 2: Convert to fraction form
    9,952.57/13,734.87 = 5,476.83/x
  3. Step 3: Cross multiply
    9,952.57x = 13,734.87 × 5,476.83
  4. Step 4: Simplify right side
    9,952.57x = 75,223,548.06
  5. Step 5: Solve for x
    x = 75,223,548.06/9,952.57
  6. Step 6: Final answer
    x = 7,558.20

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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.