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Finding the Fourth Proportional to 9,969.13, 13,759.39 and 5,723.06

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Solution

The fourth proportional to 9,969.13, 13,759.39 and 5,723.06 is: 7,898.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.13 : 13,759.39 = 5,723.06 : x
  2. Step 2: Convert to fraction form
    9,969.13/13,759.39 = 5,723.06/x
  3. Step 3: Cross multiply
    9,969.13x = 13,759.39 × 5,723.06
  4. Step 4: Simplify right side
    9,969.13x = 78,745,814.53
  5. Step 5: Solve for x
    x = 78,745,814.53/9,969.13
  6. Step 6: Final answer
    x = 7,898.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.