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Finding the Fourth Proportional to 9,755.79, 13,464.81 and 5,777.07

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Solution

The fourth proportional to 9,755.79, 13,464.81 and 5,777.07 is: 7,973.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,755.79 : 13,464.81 = 5,777.07 : x
  2. Step 2: Convert to fraction form
    9,755.79/13,464.81 = 5,777.07/x
  3. Step 3: Cross multiply
    9,755.79x = 13,464.81 × 5,777.07
  4. Step 4: Simplify right side
    9,755.79x = 77,787,149.91
  5. Step 5: Solve for x
    x = 77,787,149.91/9,755.79
  6. Step 6: Final answer
    x = 7,973.43

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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.