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Finding the Fourth Proportional to 6,005.99, 9,005.56 and 2,305.91

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Solution

The fourth proportional to 6,005.99, 9,005.56 and 2,305.91 is: 3,457.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,005.99 : 9,005.56 = 2,305.91 : x
  2. Step 2: Convert to fraction form
    6,005.99/9,005.56 = 2,305.91/x
  3. Step 3: Cross multiply
    6,005.99x = 9,005.56 × 2,305.91
  4. Step 4: Simplify right side
    6,005.99x = 20,766,010.86
  5. Step 5: Solve for x
    x = 20,766,010.86/6,005.99
  6. Step 6: Final answer
    x = 3,457.55

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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.