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Finding the Fourth Proportional to 6,871.57, 9,482.77 and 3,727.76

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Solution

The fourth proportional to 6,871.57, 9,482.77 and 3,727.76 is: 5,144.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.57 : 9,482.77 = 3,727.76 : x
  2. Step 2: Convert to fraction form
    6,871.57/9,482.77 = 3,727.76/x
  3. Step 3: Cross multiply
    6,871.57x = 9,482.77 × 3,727.76
  4. Step 4: Simplify right side
    6,871.57x = 35,349,447.94
  5. Step 5: Solve for x
    x = 35,349,447.94/6,871.57
  6. Step 6: Final answer
    x = 5,144.31

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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.