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Finding the Fourth Proportional to 9,935.56, 13,709.46 and 5,743

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Solution

The fourth proportional to 9,935.56, 13,709.46 and 5,743 is: 7,924.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,935.56 : 13,709.46 = 5,743 : x
  2. Step 2: Convert to fraction form
    9,935.56/13,709.46 = 5,743/x
  3. Step 3: Cross multiply
    9,935.56x = 13,709.46 × 5,743
  4. Step 4: Simplify right side
    9,935.56x = 78,733,428.78
  5. Step 5: Solve for x
    x = 78,733,428.78/9,935.56
  6. Step 6: Final answer
    x = 7,924.41

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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.