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Finding the Fourth Proportional to 6,009.62, 8,291.46 and 3,491.24

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Solution

The fourth proportional to 6,009.62, 8,291.46 and 3,491.24 is: 4,816.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,009.62 : 8,291.46 = 3,491.24 : x
  2. Step 2: Convert to fraction form
    6,009.62/8,291.46 = 3,491.24/x
  3. Step 3: Cross multiply
    6,009.62x = 8,291.46 × 3,491.24
  4. Step 4: Simplify right side
    6,009.62x = 28,947,459.35
  5. Step 5: Solve for x
    x = 28,947,459.35/6,009.62
  6. Step 6: Final answer
    x = 4,816.85

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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.