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Finding the Fourth Proportional to 6,856.11, 9,463.43 and 4,024.22

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Solution

The fourth proportional to 6,856.11, 9,463.43 and 4,024.22 is: 5,554.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.11 : 9,463.43 = 4,024.22 : x
  2. Step 2: Convert to fraction form
    6,856.11/9,463.43 = 4,024.22/x
  3. Step 3: Cross multiply
    6,856.11x = 9,463.43 × 4,024.22
  4. Step 4: Simplify right side
    6,856.11x = 38,082,887.02
  5. Step 5: Solve for x
    x = 38,082,887.02/6,856.11
  6. Step 6: Final answer
    x = 5,554.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.