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Finding the Fourth Proportional to 9,838.49, 14,757.58 and 2,443.01

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Solution

The fourth proportional to 9,838.49, 14,757.58 and 2,443.01 is: 3,664.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.49 : 14,757.58 = 2,443.01 : x
  2. Step 2: Convert to fraction form
    9,838.49/14,757.58 = 2,443.01/x
  3. Step 3: Cross multiply
    9,838.49x = 14,757.58 × 2,443.01
  4. Step 4: Simplify right side
    9,838.49x = 36,052,946.30
  5. Step 5: Solve for x
    x = 36,052,946.30/9,838.49
  6. Step 6: Final answer
    x = 3,664.48

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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.