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Finding the Fourth Proportional to 6,502.95, 9,755.43 and 2,119.38

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Solution

The fourth proportional to 6,502.95, 9,755.43 and 2,119.38 is: 3,179.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.95 : 9,755.43 = 2,119.38 : x
  2. Step 2: Convert to fraction form
    6,502.95/9,755.43 = 2,119.38/x
  3. Step 3: Cross multiply
    6,502.95x = 9,755.43 × 2,119.38
  4. Step 4: Simplify right side
    6,502.95x = 20,675,463.23
  5. Step 5: Solve for x
    x = 20,675,463.23/6,502.95
  6. Step 6: Final answer
    x = 3,179.40

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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.