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Finding the Fourth Proportional to 6,407.37, 8,838.17 and 4,137.85

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Solution

The fourth proportional to 6,407.37, 8,838.17 and 4,137.85 is: 5,707.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.37 : 8,838.17 = 4,137.85 : x
  2. Step 2: Convert to fraction form
    6,407.37/8,838.17 = 4,137.85/x
  3. Step 3: Cross multiply
    6,407.37x = 8,838.17 × 4,137.85
  4. Step 4: Simplify right side
    6,407.37x = 36,571,021.73
  5. Step 5: Solve for x
    x = 36,571,021.73/6,407.37
  6. Step 6: Final answer
    x = 5,707.65

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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.