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Finding the Fourth Proportional to 9,569.75, 14,353.85 and 6,049.49

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Solution

The fourth proportional to 9,569.75, 14,353.85 and 6,049.49 is: 9,073.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.75 : 14,353.85 = 6,049.49 : x
  2. Step 2: Convert to fraction form
    9,569.75/14,353.85 = 6,049.49/x
  3. Step 3: Cross multiply
    9,569.75x = 14,353.85 × 6,049.49
  4. Step 4: Simplify right side
    9,569.75x = 86,833,523.04
  5. Step 5: Solve for x
    x = 86,833,523.04/9,569.75
  6. Step 6: Final answer
    x = 9,073.75

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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.