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Finding the Fourth Proportional to 9,486.14, 14,229.18 and 3,246.20

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Solution

The fourth proportional to 9,486.14, 14,229.18 and 3,246.20 is: 4,869.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.14 : 14,229.18 = 3,246.20 : x
  2. Step 2: Convert to fraction form
    9,486.14/14,229.18 = 3,246.20/x
  3. Step 3: Cross multiply
    9,486.14x = 14,229.18 × 3,246.20
  4. Step 4: Simplify right side
    9,486.14x = 46,190,764.12
  5. Step 5: Solve for x
    x = 46,190,764.12/9,486.14
  6. Step 6: Final answer
    x = 4,869.29

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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.