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Finding the Fourth Proportional to 6,196.06, 9,295.51 and 2,686.65

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Solution

The fourth proportional to 6,196.06, 9,295.51 and 2,686.65 is: 4,030.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196.06 : 9,295.51 = 2,686.65 : x
  2. Step 2: Convert to fraction form
    6,196.06/9,295.51 = 2,686.65/x
  3. Step 3: Cross multiply
    6,196.06x = 9,295.51 × 2,686.65
  4. Step 4: Simplify right side
    6,196.06x = 24,973,781.94
  5. Step 5: Solve for x
    x = 24,973,781.94/6,196.06
  6. Step 6: Final answer
    x = 4,030.59

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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.