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Finding the Fourth Proportional to 6,214.29, 8,575.76 and 3,561.87

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Solution

The fourth proportional to 6,214.29, 8,575.76 and 3,561.87 is: 4,915.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.29 : 8,575.76 = 3,561.87 : x
  2. Step 2: Convert to fraction form
    6,214.29/8,575.76 = 3,561.87/x
  3. Step 3: Cross multiply
    6,214.29x = 8,575.76 × 3,561.87
  4. Step 4: Simplify right side
    6,214.29x = 30,545,783.33
  5. Step 5: Solve for x
    x = 30,545,783.33/6,214.29
  6. Step 6: Final answer
    x = 4,915.41

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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.