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Finding the Fourth Proportional to 9,899.16, 14,844.99 and 3,234.09

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Solution

The fourth proportional to 9,899.16, 14,844.99 and 3,234.09 is: 4,849.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,899.16 : 14,844.99 = 3,234.09 : x
  2. Step 2: Convert to fraction form
    9,899.16/14,844.99 = 3,234.09/x
  3. Step 3: Cross multiply
    9,899.16x = 14,844.99 × 3,234.09
  4. Step 4: Simplify right side
    9,899.16x = 48,010,033.71
  5. Step 5: Solve for x
    x = 48,010,033.71/9,899.16
  6. Step 6: Final answer
    x = 4,849.91

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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.