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Finding the Fourth Proportional to 9,757.74, 13,464.27 and 5,779.02

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Solution

The fourth proportional to 9,757.74, 13,464.27 and 5,779.02 is: 7,974.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.74 : 13,464.27 = 5,779.02 : x
  2. Step 2: Convert to fraction form
    9,757.74/13,464.27 = 5,779.02/x
  3. Step 3: Cross multiply
    9,757.74x = 13,464.27 × 5,779.02
  4. Step 4: Simplify right side
    9,757.74x = 77,810,285.62
  5. Step 5: Solve for x
    x = 77,810,285.62/9,757.74
  6. Step 6: Final answer
    x = 7,974.21

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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.