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Finding the Fourth Proportional to 9,899.82, 14,841.09 and 3,739.50

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Solution

The fourth proportional to 9,899.82, 14,841.09 and 3,739.50 is: 5,605.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,899.82 : 14,841.09 = 3,739.50 : x
  2. Step 2: Convert to fraction form
    9,899.82/14,841.09 = 3,739.50/x
  3. Step 3: Cross multiply
    9,899.82x = 14,841.09 × 3,739.50
  4. Step 4: Simplify right side
    9,899.82x = 55,498,256.06
  5. Step 5: Solve for x
    x = 55,498,256.06/9,899.82
  6. Step 6: Final answer
    x = 5,605.99

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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.