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Finding the Fourth Proportional to 9,570.64, 13,204.20 and 6,217.64

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Solution

The fourth proportional to 9,570.64, 13,204.20 and 6,217.64 is: 8,578.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570.64 : 13,204.20 = 6,217.64 : x
  2. Step 2: Convert to fraction form
    9,570.64/13,204.20 = 6,217.64/x
  3. Step 3: Cross multiply
    9,570.64x = 13,204.20 × 6,217.64
  4. Step 4: Simplify right side
    9,570.64x = 82,098,962.09
  5. Step 5: Solve for x
    x = 82,098,962.09/9,570.64
  6. Step 6: Final answer
    x = 8,578.21

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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.