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Finding the Fourth Proportional to 9,808.16, 14,713.38 and 3,571.09

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Solution

The fourth proportional to 9,808.16, 14,713.38 and 3,571.09 is: 5,357.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.16 : 14,713.38 = 3,571.09 : x
  2. Step 2: Convert to fraction form
    9,808.16/14,713.38 = 3,571.09/x
  3. Step 3: Cross multiply
    9,808.16x = 14,713.38 × 3,571.09
  4. Step 4: Simplify right side
    9,808.16x = 52,542,767.40
  5. Step 5: Solve for x
    x = 52,542,767.40/9,808.16
  6. Step 6: Final answer
    x = 5,357.05

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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.