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Finding the Fourth Proportional to 6,580.68, 9,861.27 and 4,109.34

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Solution

The fourth proportional to 6,580.68, 9,861.27 and 4,109.34 is: 6,157.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.68 : 9,861.27 = 4,109.34 : x
  2. Step 2: Convert to fraction form
    6,580.68/9,861.27 = 4,109.34/x
  3. Step 3: Cross multiply
    6,580.68x = 9,861.27 × 4,109.34
  4. Step 4: Simplify right side
    6,580.68x = 40,523,311.26
  5. Step 5: Solve for x
    x = 40,523,311.26/6,580.68
  6. Step 6: Final answer
    x = 6,157.92

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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.