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Finding the Fourth Proportional to 7,145.19, 9,850.82 and 4,906.22

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Solution

The fourth proportional to 7,145.19, 9,850.82 and 4,906.22 is: 6,764.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.19 : 9,850.82 = 4,906.22 : x
  2. Step 2: Convert to fraction form
    7,145.19/9,850.82 = 4,906.22/x
  3. Step 3: Cross multiply
    7,145.19x = 9,850.82 × 4,906.22
  4. Step 4: Simplify right side
    7,145.19x = 48,330,216.32
  5. Step 5: Solve for x
    x = 48,330,216.32/7,145.19
  6. Step 6: Final answer
    x = 6,764.02

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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.