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Finding the Fourth Proportional to 6,969.15, 9,616.99 and 3,825.32

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Solution

The fourth proportional to 6,969.15, 9,616.99 and 3,825.32 is: 5,278.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.15 : 9,616.99 = 3,825.32 : x
  2. Step 2: Convert to fraction form
    6,969.15/9,616.99 = 3,825.32/x
  3. Step 3: Cross multiply
    6,969.15x = 9,616.99 × 3,825.32
  4. Step 4: Simplify right side
    6,969.15x = 36,788,064.19
  5. Step 5: Solve for x
    x = 36,788,064.19/6,969.15
  6. Step 6: Final answer
    x = 5,278.70

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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.