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Finding the Fourth Proportional to 6,341.80, 9,516.30 and 2,446.44

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Solution

The fourth proportional to 6,341.80, 9,516.30 and 2,446.44 is: 3,671.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,341.80 : 9,516.30 = 2,446.44 : x
  2. Step 2: Convert to fraction form
    6,341.80/9,516.30 = 2,446.44/x
  3. Step 3: Cross multiply
    6,341.80x = 9,516.30 × 2,446.44
  4. Step 4: Simplify right side
    6,341.80x = 23,281,056.97
  5. Step 5: Solve for x
    x = 23,281,056.97/6,341.80
  6. Step 6: Final answer
    x = 3,671.05

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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.