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Finding the Fourth Proportional to 6,465.45, 8,922.33 and 3,812.88

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Solution

The fourth proportional to 6,465.45, 8,922.33 and 3,812.88 is: 5,261.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.45 : 8,922.33 = 3,812.88 : x
  2. Step 2: Convert to fraction form
    6,465.45/8,922.33 = 3,812.88/x
  3. Step 3: Cross multiply
    6,465.45x = 8,922.33 × 3,812.88
  4. Step 4: Simplify right side
    6,465.45x = 34,019,773.61
  5. Step 5: Solve for x
    x = 34,019,773.61/6,465.45
  6. Step 6: Final answer
    x = 5,261.78

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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.