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Finding the Fourth Proportional to 6,454.08, 9,673.83 and 2,940.30

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Solution

The fourth proportional to 6,454.08, 9,673.83 and 2,940.30 is: 4,407.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454.08 : 9,673.83 = 2,940.30 : x
  2. Step 2: Convert to fraction form
    6,454.08/9,673.83 = 2,940.30/x
  3. Step 3: Cross multiply
    6,454.08x = 9,673.83 × 2,940.30
  4. Step 4: Simplify right side
    6,454.08x = 28,443,962.35
  5. Step 5: Solve for x
    x = 28,443,962.35/6,454.08
  6. Step 6: Final answer
    x = 4,407.13

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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.