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Finding the Fourth Proportional to 6,333.56, 8,742.77 and 5,669.26

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Solution

The fourth proportional to 6,333.56, 8,742.77 and 5,669.26 is: 7,825.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,333.56 : 8,742.77 = 5,669.26 : x
  2. Step 2: Convert to fraction form
    6,333.56/8,742.77 = 5,669.26/x
  3. Step 3: Cross multiply
    6,333.56x = 8,742.77 × 5,669.26
  4. Step 4: Simplify right side
    6,333.56x = 49,565,028.57
  5. Step 5: Solve for x
    x = 49,565,028.57/6,333.56
  6. Step 6: Final answer
    x = 7,825.78

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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.