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Finding the Fourth Proportional to 6,718.12, 9,271.14 and 4,066.40

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Solution

The fourth proportional to 6,718.12, 9,271.14 and 4,066.40 is: 5,611.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,718.12 : 9,271.14 = 4,066.40 : x
  2. Step 2: Convert to fraction form
    6,718.12/9,271.14 = 4,066.40/x
  3. Step 3: Cross multiply
    6,718.12x = 9,271.14 × 4,066.40
  4. Step 4: Simplify right side
    6,718.12x = 37,700,163.70
  5. Step 5: Solve for x
    x = 37,700,163.70/6,718.12
  6. Step 6: Final answer
    x = 5,611.71

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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.