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Finding the Fourth Proportional to 10,469.76, 15,711.48 and 9,625.03

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Solution

The fourth proportional to 10,469.76, 15,711.48 and 9,625.03 is: 14,443.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.76 : 15,711.48 = 9,625.03 : x
  2. Step 2: Convert to fraction form
    10,469.76/15,711.48 = 9,625.03/x
  3. Step 3: Cross multiply
    10,469.76x = 15,711.48 × 9,625.03
  4. Step 4: Simplify right side
    10,469.76x = 151,223,466.34
  5. Step 5: Solve for x
    x = 151,223,466.34/10,469.76
  6. Step 6: Final answer
    x = 14,443.83

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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.