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Finding the Fourth Proportional to 10,469.54, 15,706.44 and 9,423.93

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Solution

The fourth proportional to 10,469.54, 15,706.44 and 9,423.93 is: 14,137.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.54 : 15,706.44 = 9,423.93 : x
  2. Step 2: Convert to fraction form
    10,469.54/15,706.44 = 9,423.93/x
  3. Step 3: Cross multiply
    10,469.54x = 15,706.44 × 9,423.93
  4. Step 4: Simplify right side
    10,469.54x = 148,016,343.99
  5. Step 5: Solve for x
    x = 148,016,343.99/10,469.54
  6. Step 6: Final answer
    x = 14,137.81

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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.