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Finding the Fourth Proportional to 9,807.36, 14,707.32 and 3,231.78

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Solution

The fourth proportional to 9,807.36, 14,707.32 and 3,231.78 is: 4,846.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.36 : 14,707.32 = 3,231.78 : x
  2. Step 2: Convert to fraction form
    9,807.36/14,707.32 = 3,231.78/x
  3. Step 3: Cross multiply
    9,807.36x = 14,707.32 × 3,231.78
  4. Step 4: Simplify right side
    9,807.36x = 47,530,822.63
  5. Step 5: Solve for x
    x = 47,530,822.63/9,807.36
  6. Step 6: Final answer
    x = 4,846.44

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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.