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Finding the Fourth Proportional to 7,137.46, 9,850.62 and 4,154.20

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Solution

The fourth proportional to 7,137.46, 9,850.62 and 4,154.20 is: 5,733.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.46 : 9,850.62 = 4,154.20 : x
  2. Step 2: Convert to fraction form
    7,137.46/9,850.62 = 4,154.20/x
  3. Step 3: Cross multiply
    7,137.46x = 9,850.62 × 4,154.20
  4. Step 4: Simplify right side
    7,137.46x = 40,921,445.60
  5. Step 5: Solve for x
    x = 40,921,445.60/7,137.46
  6. Step 6: Final answer
    x = 5,733.33

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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.