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Finding the Fourth Proportional to 9,125.72, 13,713.30 and 4,968.80

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Solution

The fourth proportional to 9,125.72, 13,713.30 and 4,968.80 is: 7,466.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,125.72 : 13,713.30 = 4,968.80 : x
  2. Step 2: Convert to fraction form
    9,125.72/13,713.30 = 4,968.80/x
  3. Step 3: Cross multiply
    9,125.72x = 13,713.30 × 4,968.80
  4. Step 4: Simplify right side
    9,125.72x = 68,138,645.04
  5. Step 5: Solve for x
    x = 68,138,645.04/9,125.72
  6. Step 6: Final answer
    x = 7,466.66

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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.