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Finding the Fourth Proportional to 6,442.30, 9,667.05 and 2,743.90

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Solution

The fourth proportional to 6,442.30, 9,667.05 and 2,743.90 is: 4,117.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.30 : 9,667.05 = 2,743.90 : x
  2. Step 2: Convert to fraction form
    6,442.30/9,667.05 = 2,743.90/x
  3. Step 3: Cross multiply
    6,442.30x = 9,667.05 × 2,743.90
  4. Step 4: Simplify right side
    6,442.30x = 26,525,418.50
  5. Step 5: Solve for x
    x = 26,525,418.50/6,442.30
  6. Step 6: Final answer
    x = 4,117.38

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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.