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Finding the Fourth Proportional to 6,341.85, 9,498.91 and 3,216.49

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Solution

The fourth proportional to 6,341.85, 9,498.91 and 3,216.49 is: 4,817.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,341.85 : 9,498.91 = 3,216.49 : x
  2. Step 2: Convert to fraction form
    6,341.85/9,498.91 = 3,216.49/x
  3. Step 3: Cross multiply
    6,341.85x = 9,498.91 × 3,216.49
  4. Step 4: Simplify right side
    6,341.85x = 30,553,149.03
  5. Step 5: Solve for x
    x = 30,553,149.03/6,341.85
  6. Step 6: Final answer
    x = 4,817.70

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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.