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Finding the Fourth Proportional to 9,835.44, 14,753.16 and 3,678

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Solution

The fourth proportional to 9,835.44, 14,753.16 and 3,678 is: 5,517.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,835.44 : 14,753.16 = 3,678 : x
  2. Step 2: Convert to fraction form
    9,835.44/14,753.16 = 3,678/x
  3. Step 3: Cross multiply
    9,835.44x = 14,753.16 × 3,678
  4. Step 4: Simplify right side
    9,835.44x = 54,262,122.48
  5. Step 5: Solve for x
    x = 54,262,122.48/9,835.44
  6. Step 6: Final answer
    x = 5,517.00

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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.