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Finding the Fourth Proportional to 9,844.74, 14,768.73 and 3,270.24

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Solution

The fourth proportional to 9,844.74, 14,768.73 and 3,270.24 is: 4,905.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,844.74 : 14,768.73 = 3,270.24 : x
  2. Step 2: Convert to fraction form
    9,844.74/14,768.73 = 3,270.24/x
  3. Step 3: Cross multiply
    9,844.74x = 14,768.73 × 3,270.24
  4. Step 4: Simplify right side
    9,844.74x = 48,297,291.60
  5. Step 5: Solve for x
    x = 48,297,291.60/9,844.74
  6. Step 6: Final answer
    x = 4,905.90

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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.