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Finding the Fourth Proportional to 6,341.53, 9,498.43 and 3,216.15

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Solution

The fourth proportional to 6,341.53, 9,498.43 and 3,216.15 is: 4,817.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,341.53 : 9,498.43 = 3,216.15 : x
  2. Step 2: Convert to fraction form
    6,341.53/9,498.43 = 3,216.15/x
  3. Step 3: Cross multiply
    6,341.53x = 9,498.43 × 3,216.15
  4. Step 4: Simplify right side
    6,341.53x = 30,548,359.56
  5. Step 5: Solve for x
    x = 30,548,359.56/6,341.53
  6. Step 6: Final answer
    x = 4,817.19

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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.