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Finding the Fourth Proportional to 7,110.02, 9,812.01 and 3,923.38

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Solution

The fourth proportional to 7,110.02, 9,812.01 and 3,923.38 is: 5,414.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,110.02 : 9,812.01 = 3,923.38 : x
  2. Step 2: Convert to fraction form
    7,110.02/9,812.01 = 3,923.38/x
  3. Step 3: Cross multiply
    7,110.02x = 9,812.01 × 3,923.38
  4. Step 4: Simplify right side
    7,110.02x = 38,496,219.26
  5. Step 5: Solve for x
    x = 38,496,219.26/7,110.02
  6. Step 6: Final answer
    x = 5,414.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.