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Finding the Fourth Proportional to 6,969.66, 9,616.43 and 3,944.85

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Solution

The fourth proportional to 6,969.66, 9,616.43 and 3,944.85 is: 5,442.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.66 : 9,616.43 = 3,944.85 : x
  2. Step 2: Convert to fraction form
    6,969.66/9,616.43 = 3,944.85/x
  3. Step 3: Cross multiply
    6,969.66x = 9,616.43 × 3,944.85
  4. Step 4: Simplify right side
    6,969.66x = 37,935,373.89
  5. Step 5: Solve for x
    x = 37,935,373.89/6,969.66
  6. Step 6: Final answer
    x = 5,442.93

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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.