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Finding the Fourth Proportional to 6,117.72, 9,163.14 and 4,574.04

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Solution

The fourth proportional to 6,117.72, 9,163.14 and 4,574.04 is: 6,851.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,117.72 : 9,163.14 = 4,574.04 : x
  2. Step 2: Convert to fraction form
    6,117.72/9,163.14 = 4,574.04/x
  3. Step 3: Cross multiply
    6,117.72x = 9,163.14 × 4,574.04
  4. Step 4: Simplify right side
    6,117.72x = 41,912,568.89
  5. Step 5: Solve for x
    x = 41,912,568.89/6,117.72
  6. Step 6: Final answer
    x = 6,851.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.