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Finding the Fourth Proportional to 6,138.54, 8,472.33 and 3,486.06

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Solution

The fourth proportional to 6,138.54, 8,472.33 and 3,486.06 is: 4,811.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.54 : 8,472.33 = 3,486.06 : x
  2. Step 2: Convert to fraction form
    6,138.54/8,472.33 = 3,486.06/x
  3. Step 3: Cross multiply
    6,138.54x = 8,472.33 × 3,486.06
  4. Step 4: Simplify right side
    6,138.54x = 29,535,050.72
  5. Step 5: Solve for x
    x = 29,535,050.72/6,138.54
  6. Step 6: Final answer
    x = 4,811.41

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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.