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Finding the Fourth Proportional to 9,821, 14,731.78 and 2,425.44

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Solution

The fourth proportional to 9,821, 14,731.78 and 2,425.44 is: 3,638.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,821 : 14,731.78 = 2,425.44 : x
  2. Step 2: Convert to fraction form
    9,821/14,731.78 = 2,425.44/x
  3. Step 3: Cross multiply
    9,821x = 14,731.78 × 2,425.44
  4. Step 4: Simplify right side
    9,821x = 35,731,048.48
  5. Step 5: Solve for x
    x = 35,731,048.48/9,821
  6. Step 6: Final answer
    x = 3,638.23

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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.