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Finding the Fourth Proportional to 10,122.70, 13,969.60 and 5,647.32

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Solution

The fourth proportional to 10,122.70, 13,969.60 and 5,647.32 is: 7,793.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,122.70 : 13,969.60 = 5,647.32 : x
  2. Step 2: Convert to fraction form
    10,122.70/13,969.60 = 5,647.32/x
  3. Step 3: Cross multiply
    10,122.70x = 13,969.60 × 5,647.32
  4. Step 4: Simplify right side
    10,122.70x = 78,890,773.24
  5. Step 5: Solve for x
    x = 78,890,773.24/10,122.70
  6. Step 6: Final answer
    x = 7,793.46

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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.