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Finding the Fourth Proportional to 6,661.71, 9,997.11 and 4,315.86

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Solution

The fourth proportional to 6,661.71, 9,997.11 and 4,315.86 is: 6,476.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,661.71 : 9,997.11 = 4,315.86 : x
  2. Step 2: Convert to fraction form
    6,661.71/9,997.11 = 4,315.86/x
  3. Step 3: Cross multiply
    6,661.71x = 9,997.11 × 4,315.86
  4. Step 4: Simplify right side
    6,661.71x = 43,146,127.16
  5. Step 5: Solve for x
    x = 43,146,127.16/6,661.71
  6. Step 6: Final answer
    x = 6,476.73

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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.