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Finding the Fourth Proportional to 9,715.96, 13,404.56 and 5,735.08

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Solution

The fourth proportional to 9,715.96, 13,404.56 and 5,735.08 is: 7,912.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.96 : 13,404.56 = 5,735.08 : x
  2. Step 2: Convert to fraction form
    9,715.96/13,404.56 = 5,735.08/x
  3. Step 3: Cross multiply
    9,715.96x = 13,404.56 × 5,735.08
  4. Step 4: Simplify right side
    9,715.96x = 76,876,223.96
  5. Step 5: Solve for x
    x = 76,876,223.96/9,715.96
  6. Step 6: Final answer
    x = 7,912.37

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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.