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Finding the Fourth Proportional to 6,684.24, 9,218.16 and 5,739.75

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Solution

The fourth proportional to 6,684.24, 9,218.16 and 5,739.75 is: 7,915.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.24 : 9,218.16 = 5,739.75 : x
  2. Step 2: Convert to fraction form
    6,684.24/9,218.16 = 5,739.75/x
  3. Step 3: Cross multiply
    6,684.24x = 9,218.16 × 5,739.75
  4. Step 4: Simplify right side
    6,684.24x = 52,909,933.86
  5. Step 5: Solve for x
    x = 52,909,933.86/6,684.24
  6. Step 6: Final answer
    x = 7,915.62

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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.