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Finding the Fourth Proportional to 9,892.41, 14,840.09 and 2,872.49

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Solution

The fourth proportional to 9,892.41, 14,840.09 and 2,872.49 is: 4,309.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.41 : 14,840.09 = 2,872.49 : x
  2. Step 2: Convert to fraction form
    9,892.41/14,840.09 = 2,872.49/x
  3. Step 3: Cross multiply
    9,892.41x = 14,840.09 × 2,872.49
  4. Step 4: Simplify right side
    9,892.41x = 42,627,921.56
  5. Step 5: Solve for x
    x = 42,627,921.56/9,892.41
  6. Step 6: Final answer
    x = 4,309.15

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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.