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Finding the Fourth Proportional to 6,205.59, 8,563.73 and 3,411.09

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Solution

The fourth proportional to 6,205.59, 8,563.73 and 3,411.09 is: 4,707.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.59 : 8,563.73 = 3,411.09 : x
  2. Step 2: Convert to fraction form
    6,205.59/8,563.73 = 3,411.09/x
  3. Step 3: Cross multiply
    6,205.59x = 8,563.73 × 3,411.09
  4. Step 4: Simplify right side
    6,205.59x = 29,211,636.71
  5. Step 5: Solve for x
    x = 29,211,636.71/6,205.59
  6. Step 6: Final answer
    x = 4,707.31

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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.