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Finding the Fourth Proportional to 6,138.96, 8,472.45 and 3,486.81

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Solution

The fourth proportional to 6,138.96, 8,472.45 and 3,486.81 is: 4,812.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.96 : 8,472.45 = 3,486.81 : x
  2. Step 2: Convert to fraction form
    6,138.96/8,472.45 = 3,486.81/x
  3. Step 3: Cross multiply
    6,138.96x = 8,472.45 × 3,486.81
  4. Step 4: Simplify right side
    6,138.96x = 29,541,848.62
  5. Step 5: Solve for x
    x = 29,541,848.62/6,138.96
  6. Step 6: Final answer
    x = 4,812.19

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