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Finding the Fourth Proportional to 6,871.55, 9,482.74 and 3,727.74

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Solution

The fourth proportional to 6,871.55, 9,482.74 and 3,727.74 is: 5,144.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.55 : 9,482.74 = 3,727.74 : x
  2. Step 2: Convert to fraction form
    6,871.55/9,482.74 = 3,727.74/x
  3. Step 3: Cross multiply
    6,871.55x = 9,482.74 × 3,727.74
  4. Step 4: Simplify right side
    6,871.55x = 35,349,179.89
  5. Step 5: Solve for x
    x = 35,349,179.89/6,871.55
  6. Step 6: Final answer
    x = 5,144.28

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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.