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Finding the Fourth Proportional to 6,611.77, 9,124.17 and 3,627.46

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Solution

The fourth proportional to 6,611.77, 9,124.17 and 3,627.46 is: 5,005.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,611.77 : 9,124.17 = 3,627.46 : x
  2. Step 2: Convert to fraction form
    6,611.77/9,124.17 = 3,627.46/x
  3. Step 3: Cross multiply
    6,611.77x = 9,124.17 × 3,627.46
  4. Step 4: Simplify right side
    6,611.77x = 33,097,561.71
  5. Step 5: Solve for x
    x = 33,097,561.71/6,611.77
  6. Step 6: Final answer
    x = 5,005.85

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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.