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Finding the Fourth Proportional to 6,264.48, 9,385.14 and 5,433.42

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Solution

The fourth proportional to 6,264.48, 9,385.14 and 5,433.42 is: 8,140.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,264.48 : 9,385.14 = 5,433.42 : x
  2. Step 2: Convert to fraction form
    6,264.48/9,385.14 = 5,433.42/x
  3. Step 3: Cross multiply
    6,264.48x = 9,385.14 × 5,433.42
  4. Step 4: Simplify right side
    6,264.48x = 50,993,407.38
  5. Step 5: Solve for x
    x = 50,993,407.38/6,264.48
  6. Step 6: Final answer
    x = 8,140.09

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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.