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Finding the Fourth Proportional to 6,733.59, 9,289.17 and 4,745.25

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Solution

The fourth proportional to 6,733.59, 9,289.17 and 4,745.25 is: 6,546.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,733.59 : 9,289.17 = 4,745.25 : x
  2. Step 2: Convert to fraction form
    6,733.59/9,289.17 = 4,745.25/x
  3. Step 3: Cross multiply
    6,733.59x = 9,289.17 × 4,745.25
  4. Step 4: Simplify right side
    6,733.59x = 44,079,433.94
  5. Step 5: Solve for x
    x = 44,079,433.94/6,733.59
  6. Step 6: Final answer
    x = 6,546.20

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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.