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Finding the Fourth Proportional to 6,586.08, 9,858.03 and 4,614.13

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Solution

The fourth proportional to 6,586.08, 9,858.03 and 4,614.13 is: 6,906.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.08 : 9,858.03 = 4,614.13 : x
  2. Step 2: Convert to fraction form
    6,586.08/9,858.03 = 4,614.13/x
  3. Step 3: Cross multiply
    6,586.08x = 9,858.03 × 4,614.13
  4. Step 4: Simplify right side
    6,586.08x = 45,486,231.96
  5. Step 5: Solve for x
    x = 45,486,231.96/6,586.08
  6. Step 6: Final answer
    x = 6,906.42

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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.