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Finding the Fourth Proportional to 6,677.54, 9,205.17 and 5,256.67

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Solution

The fourth proportional to 6,677.54, 9,205.17 and 5,256.67 is: 7,246.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,677.54 : 9,205.17 = 5,256.67 : x
  2. Step 2: Convert to fraction form
    6,677.54/9,205.17 = 5,256.67/x
  3. Step 3: Cross multiply
    6,677.54x = 9,205.17 × 5,256.67
  4. Step 4: Simplify right side
    6,677.54x = 48,388,540.98
  5. Step 5: Solve for x
    x = 48,388,540.98/6,677.54
  6. Step 6: Final answer
    x = 7,246.46

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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.