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Finding the Fourth Proportional to 6,231.81, 9,352.14 and 3,460.69

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Solution

The fourth proportional to 6,231.81, 9,352.14 and 3,460.69 is: 5,193.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,231.81 : 9,352.14 = 3,460.69 : x
  2. Step 2: Convert to fraction form
    6,231.81/9,352.14 = 3,460.69/x
  3. Step 3: Cross multiply
    6,231.81x = 9,352.14 × 3,460.69
  4. Step 4: Simplify right side
    6,231.81x = 32,364,857.38
  5. Step 5: Solve for x
    x = 32,364,857.38/6,231.81
  6. Step 6: Final answer
    x = 5,193.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.