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Finding the Fourth Proportional to 9,863.30, 14,796 and 3,290.14

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Solution

The fourth proportional to 9,863.30, 14,796 and 3,290.14 is: 4,935.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,863.30 : 14,796 = 3,290.14 : x
  2. Step 2: Convert to fraction form
    9,863.30/14,796 = 3,290.14/x
  3. Step 3: Cross multiply
    9,863.30x = 14,796 × 3,290.14
  4. Step 4: Simplify right side
    9,863.30x = 48,680,911.44
  5. Step 5: Solve for x
    x = 48,680,911.44/9,863.30
  6. Step 6: Final answer
    x = 4,935.56

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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.