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Finding the Fourth Proportional to 9,569.31, 14,249.98 and 9,534.75

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Solution

The fourth proportional to 9,569.31, 14,249.98 and 9,534.75 is: 14,198.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.31 : 14,249.98 = 9,534.75 : x
  2. Step 2: Convert to fraction form
    9,569.31/14,249.98 = 9,534.75/x
  3. Step 3: Cross multiply
    9,569.31x = 14,249.98 × 9,534.75
  4. Step 4: Simplify right side
    9,569.31x = 135,869,972.97
  5. Step 5: Solve for x
    x = 135,869,972.97/9,569.31
  6. Step 6: Final answer
    x = 14,198.51

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.