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Finding the Fourth Proportional to 6,733.10, 9,293.23 and 4,371.14

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Solution

The fourth proportional to 6,733.10, 9,293.23 and 4,371.14 is: 6,033.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,733.10 : 9,293.23 = 4,371.14 : x
  2. Step 2: Convert to fraction form
    6,733.10/9,293.23 = 4,371.14/x
  3. Step 3: Cross multiply
    6,733.10x = 9,293.23 × 4,371.14
  4. Step 4: Simplify right side
    6,733.10x = 40,622,009.38
  5. Step 5: Solve for x
    x = 40,622,009.38/6,733.10
  6. Step 6: Final answer
    x = 6,033.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.