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Finding the Fourth Proportional to 9,496.37, 14,242.89 and 2,569.25

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Solution

The fourth proportional to 9,496.37, 14,242.89 and 2,569.25 is: 3,853.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496.37 : 14,242.89 = 2,569.25 : x
  2. Step 2: Convert to fraction form
    9,496.37/14,242.89 = 2,569.25/x
  3. Step 3: Cross multiply
    9,496.37x = 14,242.89 × 2,569.25
  4. Step 4: Simplify right side
    9,496.37x = 36,593,545.13
  5. Step 5: Solve for x
    x = 36,593,545.13/9,496.37
  6. Step 6: Final answer
    x = 3,853.42

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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.