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Finding the Fourth Proportional to 9,478.23, 14,229.67 and 7,288.50

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Solution

The fourth proportional to 9,478.23, 14,229.67 and 7,288.50 is: 10,942.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478.23 : 14,229.67 = 7,288.50 : x
  2. Step 2: Convert to fraction form
    9,478.23/14,229.67 = 7,288.50/x
  3. Step 3: Cross multiply
    9,478.23x = 14,229.67 × 7,288.50
  4. Step 4: Simplify right side
    9,478.23x = 103,712,949.80
  5. Step 5: Solve for x
    x = 103,712,949.80/9,478.23
  6. Step 6: Final answer
    x = 10,942.23

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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.