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Finding the Fourth Proportional to 9,490.87, 14,236.36 and 3,648.85

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Solution

The fourth proportional to 9,490.87, 14,236.36 and 3,648.85 is: 5,473.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,490.87 : 14,236.36 = 3,648.85 : x
  2. Step 2: Convert to fraction form
    9,490.87/14,236.36 = 3,648.85/x
  3. Step 3: Cross multiply
    9,490.87x = 14,236.36 × 3,648.85
  4. Step 4: Simplify right side
    9,490.87x = 51,946,297.47
  5. Step 5: Solve for x
    x = 51,946,297.47/9,490.87
  6. Step 6: Final answer
    x = 5,473.29

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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.