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Finding the Fourth Proportional to 6,845.69, 9,447.06 and 3,701.87

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Solution

The fourth proportional to 6,845.69, 9,447.06 and 3,701.87 is: 5,108.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,845.69 : 9,447.06 = 3,701.87 : x
  2. Step 2: Convert to fraction form
    6,845.69/9,447.06 = 3,701.87/x
  3. Step 3: Cross multiply
    6,845.69x = 9,447.06 × 3,701.87
  4. Step 4: Simplify right side
    6,845.69x = 34,971,769.49
  5. Step 5: Solve for x
    x = 34,971,769.49/6,845.69
  6. Step 6: Final answer
    x = 5,108.59

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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.