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Finding the Fourth Proportional to 9,224.37, 12,721.73 and 6,077.25

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Solution

The fourth proportional to 9,224.37, 12,721.73 and 6,077.25 is: 8,381.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.37 : 12,721.73 = 6,077.25 : x
  2. Step 2: Convert to fraction form
    9,224.37/12,721.73 = 6,077.25/x
  3. Step 3: Cross multiply
    9,224.37x = 12,721.73 × 6,077.25
  4. Step 4: Simplify right side
    9,224.37x = 77,313,103.26
  5. Step 5: Solve for x
    x = 77,313,103.26/9,224.37
  6. Step 6: Final answer
    x = 8,381.40

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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.