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Finding the Fourth Proportional to 6,568.93, 9,065.34 and 3,584.93

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Solution

The fourth proportional to 6,568.93, 9,065.34 and 3,584.93 is: 4,947.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.93 : 9,065.34 = 3,584.93 : x
  2. Step 2: Convert to fraction form
    6,568.93/9,065.34 = 3,584.93/x
  3. Step 3: Cross multiply
    6,568.93x = 9,065.34 × 3,584.93
  4. Step 4: Simplify right side
    6,568.93x = 32,498,558.96
  5. Step 5: Solve for x
    x = 32,498,558.96/6,568.93
  6. Step 6: Final answer
    x = 4,947.32

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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.