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Finding the Fourth Proportional to 9,735.40, 13,431.76 and 5,757.88

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Solution

The fourth proportional to 9,735.40, 13,431.76 and 5,757.88 is: 7,944.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735.40 : 13,431.76 = 5,757.88 : x
  2. Step 2: Convert to fraction form
    9,735.40/13,431.76 = 5,757.88/x
  3. Step 3: Cross multiply
    9,735.40x = 13,431.76 × 5,757.88
  4. Step 4: Simplify right side
    9,735.40x = 77,338,462.27
  5. Step 5: Solve for x
    x = 77,338,462.27/9,735.40
  6. Step 6: Final answer
    x = 7,944.05

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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.