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Finding the Fourth Proportional to 6,107.58, 9,158.13 and 2,209.86

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Solution

The fourth proportional to 6,107.58, 9,158.13 and 2,209.86 is: 3,313.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,107.58 : 9,158.13 = 2,209.86 : x
  2. Step 2: Convert to fraction form
    6,107.58/9,158.13 = 2,209.86/x
  3. Step 3: Cross multiply
    6,107.58x = 9,158.13 × 2,209.86
  4. Step 4: Simplify right side
    6,107.58x = 20,238,185.16
  5. Step 5: Solve for x
    x = 20,238,185.16/6,107.58
  6. Step 6: Final answer
    x = 3,313.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.