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Finding the Fourth Proportional to 6,465.29, 8,921.97 and 3,813.55

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Solution

The fourth proportional to 6,465.29, 8,921.97 and 3,813.55 is: 5,262.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.29 : 8,921.97 = 3,813.55 : x
  2. Step 2: Convert to fraction form
    6,465.29/8,921.97 = 3,813.55/x
  3. Step 3: Cross multiply
    6,465.29x = 8,921.97 × 3,813.55
  4. Step 4: Simplify right side
    6,465.29x = 34,024,356.39
  5. Step 5: Solve for x
    x = 34,024,356.39/6,465.29
  6. Step 6: Final answer
    x = 5,262.62

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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.