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Finding the Fourth Proportional to 9,186.50, 12,678.44 and 5,154.44

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Solution

The fourth proportional to 9,186.50, 12,678.44 and 5,154.44 is: 7,113.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186.50 : 12,678.44 = 5,154.44 : x
  2. Step 2: Convert to fraction form
    9,186.50/12,678.44 = 5,154.44/x
  3. Step 3: Cross multiply
    9,186.50x = 12,678.44 × 5,154.44
  4. Step 4: Simplify right side
    9,186.50x = 65,350,258.27
  5. Step 5: Solve for x
    x = 65,350,258.27/9,186.50
  6. Step 6: Final answer
    x = 7,113.73

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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.