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Finding the Fourth Proportional to 6,845.77, 9,447.16 and 3,701.95

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Solution

The fourth proportional to 6,845.77, 9,447.16 and 3,701.95 is: 5,108.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,845.77 : 9,447.16 = 3,701.95 : x
  2. Step 2: Convert to fraction form
    6,845.77/9,447.16 = 3,701.95/x
  3. Step 3: Cross multiply
    6,845.77x = 9,447.16 × 3,701.95
  4. Step 4: Simplify right side
    6,845.77x = 34,972,930.76
  5. Step 5: Solve for x
    x = 34,972,930.76/6,845.77
  6. Step 6: Final answer
    x = 5,108.70

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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.