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Finding the Fourth Proportional to 6,412.77, 8,847.69 and 6,201.36

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Solution

The fourth proportional to 6,412.77, 8,847.69 and 6,201.36 is: 8,556.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.77 : 8,847.69 = 6,201.36 : x
  2. Step 2: Convert to fraction form
    6,412.77/8,847.69 = 6,201.36/x
  3. Step 3: Cross multiply
    6,412.77x = 8,847.69 × 6,201.36
  4. Step 4: Simplify right side
    6,412.77x = 54,867,710.86
  5. Step 5: Solve for x
    x = 54,867,710.86/6,412.77
  6. Step 6: Final answer
    x = 8,556.01

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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.