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Finding the Fourth Proportional to 6,634.88, 9,946.16 and 2,935.14

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Solution

The fourth proportional to 6,634.88, 9,946.16 and 2,935.14 is: 4,399.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,634.88 : 9,946.16 = 2,935.14 : x
  2. Step 2: Convert to fraction form
    6,634.88/9,946.16 = 2,935.14/x
  3. Step 3: Cross multiply
    6,634.88x = 9,946.16 × 2,935.14
  4. Step 4: Simplify right side
    6,634.88x = 29,193,372.06
  5. Step 5: Solve for x
    x = 29,193,372.06/6,634.88
  6. Step 6: Final answer
    x = 4,399.98

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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.