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Finding the Fourth Proportional to 9,496.87, 14,237.08 and 3,649.38

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Solution

The fourth proportional to 9,496.87, 14,237.08 and 3,649.38 is: 5,470.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496.87 : 14,237.08 = 3,649.38 : x
  2. Step 2: Convert to fraction form
    9,496.87/14,237.08 = 3,649.38/x
  3. Step 3: Cross multiply
    9,496.87x = 14,237.08 × 3,649.38
  4. Step 4: Simplify right side
    9,496.87x = 51,956,515.01
  5. Step 5: Solve for x
    x = 51,956,515.01/9,496.87
  6. Step 6: Final answer
    x = 5,470.91

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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.