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Finding the Fourth Proportional to 6,969.43, 9,618.32 and 3,985.19

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Solution

The fourth proportional to 6,969.43, 9,618.32 and 3,985.19 is: 5,499.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.43 : 9,618.32 = 3,985.19 : x
  2. Step 2: Convert to fraction form
    6,969.43/9,618.32 = 3,985.19/x
  3. Step 3: Cross multiply
    6,969.43x = 9,618.32 × 3,985.19
  4. Step 4: Simplify right side
    6,969.43x = 38,330,764.66
  5. Step 5: Solve for x
    x = 38,330,764.66/6,969.43
  6. Step 6: Final answer
    x = 5,499.84

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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.