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Finding the Fourth Proportional to 6,969.81, 9,618.35 and 3,985.62

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Solution

The fourth proportional to 6,969.81, 9,618.35 and 3,985.62 is: 5,500.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.81 : 9,618.35 = 3,985.62 : x
  2. Step 2: Convert to fraction form
    6,969.81/9,618.35 = 3,985.62/x
  3. Step 3: Cross multiply
    6,969.81x = 9,618.35 × 3,985.62
  4. Step 4: Simplify right side
    6,969.81x = 38,335,086.23
  5. Step 5: Solve for x
    x = 38,335,086.23/6,969.81
  6. Step 6: Final answer
    x = 5,500.16

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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.