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Finding the Fourth Proportional to 6,128.75, 9,186.84 and 4,154.58

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Solution

The fourth proportional to 6,128.75, 9,186.84 and 4,154.58 is: 6,227.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,128.75 : 9,186.84 = 4,154.58 : x
  2. Step 2: Convert to fraction form
    6,128.75/9,186.84 = 4,154.58/x
  3. Step 3: Cross multiply
    6,128.75x = 9,186.84 × 4,154.58
  4. Step 4: Simplify right side
    6,128.75x = 38,167,461.73
  5. Step 5: Solve for x
    x = 38,167,461.73/6,128.75
  6. Step 6: Final answer
    x = 6,227.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.