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Finding the Fourth Proportional to 9,451.26, 13,047.21 and 6,309.54

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Solution

The fourth proportional to 9,451.26, 13,047.21 and 6,309.54 is: 8,710.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,451.26 : 13,047.21 = 6,309.54 : x
  2. Step 2: Convert to fraction form
    9,451.26/13,047.21 = 6,309.54/x
  3. Step 3: Cross multiply
    9,451.26x = 13,047.21 × 6,309.54
  4. Step 4: Simplify right side
    9,451.26x = 82,321,893.38
  5. Step 5: Solve for x
    x = 82,321,893.38/9,451.26
  6. Step 6: Final answer
    x = 8,710.15

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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.