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Finding the Fourth Proportional to 6,356.37, 8,769.75 and 3,703.22

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Solution

The fourth proportional to 6,356.37, 8,769.75 and 3,703.22 is: 5,109.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.37 : 8,769.75 = 3,703.22 : x
  2. Step 2: Convert to fraction form
    6,356.37/8,769.75 = 3,703.22/x
  3. Step 3: Cross multiply
    6,356.37x = 8,769.75 × 3,703.22
  4. Step 4: Simplify right side
    6,356.37x = 32,476,269.75
  5. Step 5: Solve for x
    x = 32,476,269.75/6,356.37
  6. Step 6: Final answer
    x = 5,109.25

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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.