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Finding the Fourth Proportional to 6,427.14, 8,861.85 and 5,009.22

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Solution

The fourth proportional to 6,427.14, 8,861.85 and 5,009.22 is: 6,906.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427.14 : 8,861.85 = 5,009.22 : x
  2. Step 2: Convert to fraction form
    6,427.14/8,861.85 = 5,009.22/x
  3. Step 3: Cross multiply
    6,427.14x = 8,861.85 × 5,009.22
  4. Step 4: Simplify right side
    6,427.14x = 44,390,956.26
  5. Step 5: Solve for x
    x = 44,390,956.26/6,427.14
  6. Step 6: Final answer
    x = 6,906.80

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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.