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Finding the Fourth Proportional to 9,807.24, 14,709.30 and 3,233.40

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Solution

The fourth proportional to 9,807.24, 14,709.30 and 3,233.40 is: 4,849.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.24 : 14,709.30 = 3,233.40 : x
  2. Step 2: Convert to fraction form
    9,807.24/14,709.30 = 3,233.40/x
  3. Step 3: Cross multiply
    9,807.24x = 14,709.30 × 3,233.40
  4. Step 4: Simplify right side
    9,807.24x = 47,561,050.62
  5. Step 5: Solve for x
    x = 47,561,050.62/9,807.24
  6. Step 6: Final answer
    x = 4,849.59

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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.