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Finding the Fourth Proportional to 6,969.04, 9,617.40 and 3,825.20

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Solution

The fourth proportional to 6,969.04, 9,617.40 and 3,825.20 is: 5,278.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.04 : 9,617.40 = 3,825.20 : x
  2. Step 2: Convert to fraction form
    6,969.04/9,617.40 = 3,825.20/x
  3. Step 3: Cross multiply
    6,969.04x = 9,617.40 × 3,825.20
  4. Step 4: Simplify right side
    6,969.04x = 36,788,478.48
  5. Step 5: Solve for x
    x = 36,788,478.48/6,969.04
  6. Step 6: Final answer
    x = 5,278.84

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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.