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Finding the Fourth Proportional to 9,791.02, 14,688.41 and 3,948.22

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Solution

The fourth proportional to 9,791.02, 14,688.41 and 3,948.22 is: 5,923.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.02 : 14,688.41 = 3,948.22 : x
  2. Step 2: Convert to fraction form
    9,791.02/14,688.41 = 3,948.22/x
  3. Step 3: Cross multiply
    9,791.02x = 14,688.41 × 3,948.22
  4. Step 4: Simplify right side
    9,791.02x = 57,993,074.13
  5. Step 5: Solve for x
    x = 57,993,074.13/9,791.02
  6. Step 6: Final answer
    x = 5,923.09

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Why These Related Problems?

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