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Finding the Fourth Proportional to 6,800.24, 9,375.72 and 4,438.64

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Solution

The fourth proportional to 6,800.24, 9,375.72 and 4,438.64 is: 6,119.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,800.24 : 9,375.72 = 4,438.64 : x
  2. Step 2: Convert to fraction form
    6,800.24/9,375.72 = 4,438.64/x
  3. Step 3: Cross multiply
    6,800.24x = 9,375.72 × 4,438.64
  4. Step 4: Simplify right side
    6,800.24x = 41,615,445.82
  5. Step 5: Solve for x
    x = 41,615,445.82/6,800.24
  6. Step 6: Final answer
    x = 6,119.70

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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.