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Finding the Fourth Proportional to 9,851.69, 13,593.47 and 5,873.17

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Solution

The fourth proportional to 9,851.69, 13,593.47 and 5,873.17 is: 8,103.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851.69 : 13,593.47 = 5,873.17 : x
  2. Step 2: Convert to fraction form
    9,851.69/13,593.47 = 5,873.17/x
  3. Step 3: Cross multiply
    9,851.69x = 13,593.47 × 5,873.17
  4. Step 4: Simplify right side
    9,851.69x = 79,836,760.20
  5. Step 5: Solve for x
    x = 79,836,760.20/9,851.69
  6. Step 6: Final answer
    x = 8,103.86

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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.