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Finding the Fourth Proportional to 9,813.29, 14,723 and 3,244.09

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Solution

The fourth proportional to 9,813.29, 14,723 and 3,244.09 is: 4,867.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.29 : 14,723 = 3,244.09 : x
  2. Step 2: Convert to fraction form
    9,813.29/14,723 = 3,244.09/x
  3. Step 3: Cross multiply
    9,813.29x = 14,723 × 3,244.09
  4. Step 4: Simplify right side
    9,813.29x = 47,762,737.07
  5. Step 5: Solve for x
    x = 47,762,737.07/9,813.29
  6. Step 6: Final answer
    x = 4,867.15

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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.