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Finding the Fourth Proportional to 7,137.45, 9,847.17 and 4,152.60

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Solution

The fourth proportional to 7,137.45, 9,847.17 and 4,152.60 is: 5,729.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.45 : 9,847.17 = 4,152.60 : x
  2. Step 2: Convert to fraction form
    7,137.45/9,847.17 = 4,152.60/x
  3. Step 3: Cross multiply
    7,137.45x = 9,847.17 × 4,152.60
  4. Step 4: Simplify right side
    7,137.45x = 40,891,358.14
  5. Step 5: Solve for x
    x = 40,891,358.14/7,137.45
  6. Step 6: Final answer
    x = 5,729.13

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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.