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Finding the Fourth Proportional to 9,642.42, 14,464.13 and 2,717.46

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Solution

The fourth proportional to 9,642.42, 14,464.13 and 2,717.46 is: 4,076.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.42 : 14,464.13 = 2,717.46 : x
  2. Step 2: Convert to fraction form
    9,642.42/14,464.13 = 2,717.46/x
  3. Step 3: Cross multiply
    9,642.42x = 14,464.13 × 2,717.46
  4. Step 4: Simplify right side
    9,642.42x = 39,305,694.71
  5. Step 5: Solve for x
    x = 39,305,694.71/9,642.42
  6. Step 6: Final answer
    x = 4,076.33

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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.