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Finding the Fourth Proportional to 9,662.14, 14,493.29 and 3,422.18

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Solution

The fourth proportional to 9,662.14, 14,493.29 and 3,422.18 is: 5,133.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.14 : 14,493.29 = 3,422.18 : x
  2. Step 2: Convert to fraction form
    9,662.14/14,493.29 = 3,422.18/x
  3. Step 3: Cross multiply
    9,662.14x = 14,493.29 × 3,422.18
  4. Step 4: Simplify right side
    9,662.14x = 49,598,647.17
  5. Step 5: Solve for x
    x = 49,598,647.17/9,662.14
  6. Step 6: Final answer
    x = 5,133.30

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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.