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Finding the Fourth Proportional to 6,790.25, 9,370.54 and 4,137.67

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Solution

The fourth proportional to 6,790.25, 9,370.54 and 4,137.67 is: 5,709.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,790.25 : 9,370.54 = 4,137.67 : x
  2. Step 2: Convert to fraction form
    6,790.25/9,370.54 = 4,137.67/x
  3. Step 3: Cross multiply
    6,790.25x = 9,370.54 × 4,137.67
  4. Step 4: Simplify right side
    6,790.25x = 38,772,168.47
  5. Step 5: Solve for x
    x = 38,772,168.47/6,790.25
  6. Step 6: Final answer
    x = 5,709.97

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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.