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Finding the Fourth Proportional to 6,464.61, 8,917.56 and 3,811.32

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Solution

The fourth proportional to 6,464.61, 8,917.56 and 3,811.32 is: 5,257.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.61 : 8,917.56 = 3,811.32 : x
  2. Step 2: Convert to fraction form
    6,464.61/8,917.56 = 3,811.32/x
  3. Step 3: Cross multiply
    6,464.61x = 8,917.56 × 3,811.32
  4. Step 4: Simplify right side
    6,464.61x = 33,987,674.78
  5. Step 5: Solve for x
    x = 33,987,674.78/6,464.61
  6. Step 6: Final answer
    x = 5,257.50

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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.