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Finding the Fourth Proportional to 9,810.96, 14,714.99 and 3,236.30

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Solution

The fourth proportional to 9,810.96, 14,714.99 and 3,236.30 is: 4,853.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810.96 : 14,714.99 = 3,236.30 : x
  2. Step 2: Convert to fraction form
    9,810.96/14,714.99 = 3,236.30/x
  3. Step 3: Cross multiply
    9,810.96x = 14,714.99 × 3,236.30
  4. Step 4: Simplify right side
    9,810.96x = 47,622,122.14
  5. Step 5: Solve for x
    x = 47,622,122.14/9,810.96
  6. Step 6: Final answer
    x = 4,853.97

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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.