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Finding the Fourth Proportional to 9,486.50, 14,224.73 and 4,741.92

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Solution

The fourth proportional to 9,486.50, 14,224.73 and 4,741.92 is: 7,110.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.50 : 14,224.73 = 4,741.92 : x
  2. Step 2: Convert to fraction form
    9,486.50/14,224.73 = 4,741.92/x
  3. Step 3: Cross multiply
    9,486.50x = 14,224.73 × 4,741.92
  4. Step 4: Simplify right side
    9,486.50x = 67,452,507.97
  5. Step 5: Solve for x
    x = 67,452,507.97/9,486.50
  6. Step 6: Final answer
    x = 7,110.37

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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.