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Finding the Fourth Proportional to 6,431.60, 9,647.34 and 5,141.24

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Solution

The fourth proportional to 6,431.60, 9,647.34 and 5,141.24 is: 7,711.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.60 : 9,647.34 = 5,141.24 : x
  2. Step 2: Convert to fraction form
    6,431.60/9,647.34 = 5,141.24/x
  3. Step 3: Cross multiply
    6,431.60x = 9,647.34 × 5,141.24
  4. Step 4: Simplify right side
    6,431.60x = 49,599,290.30
  5. Step 5: Solve for x
    x = 49,599,290.30/6,431.60
  6. Step 6: Final answer
    x = 7,711.81

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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.