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Finding the Fourth Proportional to 6,812.99, 9,402.01 and 4,124.17

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Solution

The fourth proportional to 6,812.99, 9,402.01 and 4,124.17 is: 5,691.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812.99 : 9,402.01 = 4,124.17 : x
  2. Step 2: Convert to fraction form
    6,812.99/9,402.01 = 4,124.17/x
  3. Step 3: Cross multiply
    6,812.99x = 9,402.01 × 4,124.17
  4. Step 4: Simplify right side
    6,812.99x = 38,775,477.27
  5. Step 5: Solve for x
    x = 38,775,477.27/6,812.99
  6. Step 6: Final answer
    x = 5,691.41

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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.