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Finding the Fourth Proportional to 6,584,189.96, 9,086,535.16 and 3,683,407.84

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Solution

The fourth proportional to 6,584,189.96, 9,086,535.16 and 3,683,407.84 is: 5,083,300.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584,189.96 : 9,086,535.16 = 3,683,407.84 : x
  2. Step 2: Convert to fraction form
    6,584,189.96/9,086,535.16 = 3,683,407.84/x
  3. Step 3: Cross multiply
    6,584,189.96x = 9,086,535.16 × 3,683,407.84
  4. Step 4: Simplify right side
    6,584,189.96x = 33,469,414,814,854.80
  5. Step 5: Solve for x
    x = 33,469,414,814,854.80/6,584,189.96
  6. Step 6: Final answer
    x = 5,083,300.30

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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.