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Finding the Fourth Proportional to 9,872.48, 14,809.64 and 3,634.07

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Solution

The fourth proportional to 9,872.48, 14,809.64 and 3,634.07 is: 5,451.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,872.48 : 14,809.64 = 3,634.07 : x
  2. Step 2: Convert to fraction form
    9,872.48/14,809.64 = 3,634.07/x
  3. Step 3: Cross multiply
    9,872.48x = 14,809.64 × 3,634.07
  4. Step 4: Simplify right side
    9,872.48x = 53,819,176.22
  5. Step 5: Solve for x
    x = 53,819,176.22/9,872.48
  6. Step 6: Final answer
    x = 5,451.43

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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.