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Finding the Fourth Proportional to 6,365.75, 8,784.83 and 3,533.31

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Solution

The fourth proportional to 6,365.75, 8,784.83 and 3,533.31 is: 4,876.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,365.75 : 8,784.83 = 3,533.31 : x
  2. Step 2: Convert to fraction form
    6,365.75/8,784.83 = 3,533.31/x
  3. Step 3: Cross multiply
    6,365.75x = 8,784.83 × 3,533.31
  4. Step 4: Simplify right side
    6,365.75x = 31,039,490.33
  5. Step 5: Solve for x
    x = 31,039,490.33/6,365.75
  6. Step 6: Final answer
    x = 4,876.02

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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.