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Finding the Fourth Proportional to 9,757.99, 13,469.52 and 5,779.14

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Solution

The fourth proportional to 9,757.99, 13,469.52 and 5,779.14 is: 7,977.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.99 : 13,469.52 = 5,779.14 : x
  2. Step 2: Convert to fraction form
    9,757.99/13,469.52 = 5,779.14/x
  3. Step 3: Cross multiply
    9,757.99x = 13,469.52 × 5,779.14
  4. Step 4: Simplify right side
    9,757.99x = 77,842,241.81
  5. Step 5: Solve for x
    x = 77,842,241.81/9,757.99
  6. Step 6: Final answer
    x = 7,977.28

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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.