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Finding the Fourth Proportional to 6,568.25, 9,064.15 and 3,584.07

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Solution

The fourth proportional to 6,568.25, 9,064.15 and 3,584.07 is: 4,946.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.25 : 9,064.15 = 3,584.07 : x
  2. Step 2: Convert to fraction form
    6,568.25/9,064.15 = 3,584.07/x
  3. Step 3: Cross multiply
    6,568.25x = 9,064.15 × 3,584.07
  4. Step 4: Simplify right side
    6,568.25x = 32,486,593.28
  5. Step 5: Solve for x
    x = 32,486,593.28/6,568.25
  6. Step 6: Final answer
    x = 4,946.01

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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.