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Finding the Fourth Proportional to 6,906.18, 9,529.14 and 4,778.38

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Solution

The fourth proportional to 6,906.18, 9,529.14 and 4,778.38 is: 6,593.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.18 : 9,529.14 = 4,778.38 : x
  2. Step 2: Convert to fraction form
    6,906.18/9,529.14 = 4,778.38/x
  3. Step 3: Cross multiply
    6,906.18x = 9,529.14 × 4,778.38
  4. Step 4: Simplify right side
    6,906.18x = 45,533,851.99
  5. Step 5: Solve for x
    x = 45,533,851.99/6,906.18
  6. Step 6: Final answer
    x = 6,593.20

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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.