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Finding the Fourth Proportional to 6,584.18, 9,086.34 and 3,600.14

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Solution

The fourth proportional to 6,584.18, 9,086.34 and 3,600.14 is: 4,968.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.18 : 9,086.34 = 3,600.14 : x
  2. Step 2: Convert to fraction form
    6,584.18/9,086.34 = 3,600.14/x
  3. Step 3: Cross multiply
    6,584.18x = 9,086.34 × 3,600.14
  4. Step 4: Simplify right side
    6,584.18x = 32,712,096.09
  5. Step 5: Solve for x
    x = 32,712,096.09/6,584.18
  6. Step 6: Final answer
    x = 4,968.29

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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.