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Finding the Fourth Proportional to 6,586.96, 9,091.56 and 3,935.56

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Solution

The fourth proportional to 6,586.96, 9,091.56 and 3,935.56 is: 5,432.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.96 : 9,091.56 = 3,935.56 : x
  2. Step 2: Convert to fraction form
    6,586.96/9,091.56 = 3,935.56/x
  3. Step 3: Cross multiply
    6,586.96x = 9,091.56 × 3,935.56
  4. Step 4: Simplify right side
    6,586.96x = 35,780,379.87
  5. Step 5: Solve for x
    x = 35,780,379.87/6,586.96
  6. Step 6: Final answer
    x = 5,432.00

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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.