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Finding the Fourth Proportional to 6,139.82, 9,211.53 and 2,627.93

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Solution

The fourth proportional to 6,139.82, 9,211.53 and 2,627.93 is: 3,942.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,139.82 : 9,211.53 = 2,627.93 : x
  2. Step 2: Convert to fraction form
    6,139.82/9,211.53 = 2,627.93/x
  3. Step 3: Cross multiply
    6,139.82x = 9,211.53 × 2,627.93
  4. Step 4: Simplify right side
    6,139.82x = 24,207,256.03
  5. Step 5: Solve for x
    x = 24,207,256.03/6,139.82
  6. Step 6: Final answer
    x = 3,942.67

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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.