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Finding the Fourth Proportional to 9,697.35, 13,383.81 and 5,922.72

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Solution

The fourth proportional to 9,697.35, 13,383.81 and 5,922.72 is: 8,174.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.35 : 13,383.81 = 5,922.72 : x
  2. Step 2: Convert to fraction form
    9,697.35/13,383.81 = 5,922.72/x
  3. Step 3: Cross multiply
    9,697.35x = 13,383.81 × 5,922.72
  4. Step 4: Simplify right side
    9,697.35x = 79,268,559.16
  5. Step 5: Solve for x
    x = 79,268,559.16/9,697.35
  6. Step 6: Final answer
    x = 8,174.25

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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.