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Finding the Fourth Proportional to 6,969.06, 9,617.49 and 3,985.17

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Solution

The fourth proportional to 6,969.06, 9,617.49 and 3,985.17 is: 5,499.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.06 : 9,617.49 = 3,985.17 : x
  2. Step 2: Convert to fraction form
    6,969.06/9,617.49 = 3,985.17/x
  3. Step 3: Cross multiply
    6,969.06x = 9,617.49 × 3,985.17
  4. Step 4: Simplify right side
    6,969.06x = 38,327,332.62
  5. Step 5: Solve for x
    x = 38,327,332.62/6,969.06
  6. Step 6: Final answer
    x = 5,499.64

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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.