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Finding the Fourth Proportional to 6,005.24, 9,005.46 and 2,492.86

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Solution

The fourth proportional to 6,005.24, 9,005.46 and 2,492.86 is: 3,738.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,005.24 : 9,005.46 = 2,492.86 : x
  2. Step 2: Convert to fraction form
    6,005.24/9,005.46 = 2,492.86/x
  3. Step 3: Cross multiply
    6,005.24x = 9,005.46 × 2,492.86
  4. Step 4: Simplify right side
    6,005.24x = 22,449,351.02
  5. Step 5: Solve for x
    x = 22,449,351.02/6,005.24
  6. Step 6: Final answer
    x = 3,738.29

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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.