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Finding the Fourth Proportional to 6,568.47, 9,064.32 and 3,584.13

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Solution

The fourth proportional to 6,568.47, 9,064.32 and 3,584.13 is: 4,946.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.47 : 9,064.32 = 3,584.13 : x
  2. Step 2: Convert to fraction form
    6,568.47/9,064.32 = 3,584.13/x
  3. Step 3: Cross multiply
    6,568.47x = 9,064.32 × 3,584.13
  4. Step 4: Simplify right side
    6,568.47x = 32,487,701.24
  5. Step 5: Solve for x
    x = 32,487,701.24/6,568.47
  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.