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Finding the Fourth Proportional to 6,196.54, 9,295.48 and 2,686.92

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Solution

The fourth proportional to 6,196.54, 9,295.48 and 2,686.92 is: 4,030.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196.54 : 9,295.48 = 2,686.92 : x
  2. Step 2: Convert to fraction form
    6,196.54/9,295.48 = 2,686.92/x
  3. Step 3: Cross multiply
    6,196.54x = 9,295.48 × 2,686.92
  4. Step 4: Simplify right side
    6,196.54x = 24,976,211.12
  5. Step 5: Solve for x
    x = 24,976,211.12/6,196.54
  6. Step 6: Final answer
    x = 4,030.67

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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.