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Finding the Fourth Proportional to 6,465.05, 8,922.62 and 3,812.71

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Solution

The fourth proportional to 6,465.05, 8,922.62 and 3,812.71 is: 5,262.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.05 : 8,922.62 = 3,812.71 : x
  2. Step 2: Convert to fraction form
    6,465.05/8,922.62 = 3,812.71/x
  3. Step 3: Cross multiply
    6,465.05x = 8,922.62 × 3,812.71
  4. Step 4: Simplify right side
    6,465.05x = 34,019,362.50
  5. Step 5: Solve for x
    x = 34,019,362.50/6,465.05
  6. Step 6: Final answer
    x = 5,262.04

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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.