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Finding the Fourth Proportional to 6,422.46, 8,862.93 and 4,066.53

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Solution

The fourth proportional to 6,422.46, 8,862.93 and 4,066.53 is: 5,611.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,422.46 : 8,862.93 = 4,066.53 : x
  2. Step 2: Convert to fraction form
    6,422.46/8,862.93 = 4,066.53/x
  3. Step 3: Cross multiply
    6,422.46x = 8,862.93 × 4,066.53
  4. Step 4: Simplify right side
    6,422.46x = 36,041,370.73
  5. Step 5: Solve for x
    x = 36,041,370.73/6,422.46
  6. Step 6: Final answer
    x = 5,611.77

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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.