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Finding the Fourth Proportional to 9,499.14, 13,107.42 and 5,308.20

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Solution

The fourth proportional to 9,499.14, 13,107.42 and 5,308.20 is: 7,324.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,499.14 : 13,107.42 = 5,308.20 : x
  2. Step 2: Convert to fraction form
    9,499.14/13,107.42 = 5,308.20/x
  3. Step 3: Cross multiply
    9,499.14x = 13,107.42 × 5,308.20
  4. Step 4: Simplify right side
    9,499.14x = 69,576,806.84
  5. Step 5: Solve for x
    x = 69,576,806.84/9,499.14
  6. Step 6: Final answer
    x = 7,324.54

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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.