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Finding the Fourth Proportional to 6,205.92, 8,564.33 and 3,411.42

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Solution

The fourth proportional to 6,205.92, 8,564.33 and 3,411.42 is: 4,707.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.92 : 8,564.33 = 3,411.42 : x
  2. Step 2: Convert to fraction form
    6,205.92/8,564.33 = 3,411.42/x
  3. Step 3: Cross multiply
    6,205.92x = 8,564.33 × 3,411.42
  4. Step 4: Simplify right side
    6,205.92x = 29,216,509.59
  5. Step 5: Solve for x
    x = 29,216,509.59/6,205.92
  6. Step 6: Final answer
    x = 4,707.85

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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.