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Finding the Fourth Proportional to 6,689.14, 9,231.02 and 4,036.55

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Solution

The fourth proportional to 6,689.14, 9,231.02 and 4,036.55 is: 5,570.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.14 : 9,231.02 = 4,036.55 : x
  2. Step 2: Convert to fraction form
    6,689.14/9,231.02 = 4,036.55/x
  3. Step 3: Cross multiply
    6,689.14x = 9,231.02 × 4,036.55
  4. Step 4: Simplify right side
    6,689.14x = 37,261,496.81
  5. Step 5: Solve for x
    x = 37,261,496.81/6,689.14
  6. Step 6: Final answer
    x = 5,570.44

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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.