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Finding the Fourth Proportional to 6,847.76, 9,418.56 and 5,644.28

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Solution

The fourth proportional to 6,847.76, 9,418.56 and 5,644.28 is: 7,763.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847.76 : 9,418.56 = 5,644.28 : x
  2. Step 2: Convert to fraction form
    6,847.76/9,418.56 = 5,644.28/x
  3. Step 3: Cross multiply
    6,847.76x = 9,418.56 × 5,644.28
  4. Step 4: Simplify right side
    6,847.76x = 53,160,989.84
  5. Step 5: Solve for x
    x = 53,160,989.84/6,847.76
  6. Step 6: Final answer
    x = 7,763.27

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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.