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Finding the Fourth Proportional to 6,969.60, 9,617.76 and 3,825.84

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Solution

The fourth proportional to 6,969.60, 9,617.76 and 3,825.84 is: 5,279.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.60 : 9,617.76 = 3,825.84 : x
  2. Step 2: Convert to fraction form
    6,969.60/9,617.76 = 3,825.84/x
  3. Step 3: Cross multiply
    6,969.60x = 9,617.76 × 3,825.84
  4. Step 4: Simplify right side
    6,969.60x = 36,796,010.92
  5. Step 5: Solve for x
    x = 36,796,010.92/6,969.60
  6. Step 6: Final answer
    x = 5,279.50

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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.