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Finding the Fourth Proportional to 6,459.87, 9,682.88 and 3,339.05

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Solution

The fourth proportional to 6,459.87, 9,682.88 and 3,339.05 is: 5,004.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,459.87 : 9,682.88 = 3,339.05 : x
  2. Step 2: Convert to fraction form
    6,459.87/9,682.88 = 3,339.05/x
  3. Step 3: Cross multiply
    6,459.87x = 9,682.88 × 3,339.05
  4. Step 4: Simplify right side
    6,459.87x = 32,331,580.40
  5. Step 5: Solve for x
    x = 32,331,580.40/6,459.87
  6. Step 6: Final answer
    x = 5,004.99

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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.