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Finding the Fourth Proportional to 6,929.70, 10,398.20 and 4,161.93

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Solution

The fourth proportional to 6,929.70, 10,398.20 and 4,161.93 is: 6,245.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,929.70 : 10,398.20 = 4,161.93 : x
  2. Step 2: Convert to fraction form
    6,929.70/10,398.20 = 4,161.93/x
  3. Step 3: Cross multiply
    6,929.70x = 10,398.20 × 4,161.93
  4. Step 4: Simplify right side
    6,929.70x = 43,276,580.53
  5. Step 5: Solve for x
    x = 43,276,580.53/6,929.70
  6. Step 6: Final answer
    x = 6,245.09

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