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Finding the Fourth Proportional to 6,816.60, 9,407.01 and 3,832.42

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Solution

The fourth proportional to 6,816.60, 9,407.01 and 3,832.42 is: 5,288.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816.60 : 9,407.01 = 3,832.42 : x
  2. Step 2: Convert to fraction form
    6,816.60/9,407.01 = 3,832.42/x
  3. Step 3: Cross multiply
    6,816.60x = 9,407.01 × 3,832.42
  4. Step 4: Simplify right side
    6,816.60x = 36,051,613.26
  5. Step 5: Solve for x
    x = 36,051,613.26/6,816.60
  6. Step 6: Final answer
    x = 5,288.80

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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.