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Finding the Fourth Proportional to 9,479.23, 14,231.17 and 7,289.50

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Solution

The fourth proportional to 9,479.23, 14,231.17 and 7,289.50 is: 10,943.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,479.23 : 14,231.17 = 7,289.50 : x
  2. Step 2: Convert to fraction form
    9,479.23/14,231.17 = 7,289.50/x
  3. Step 3: Cross multiply
    9,479.23x = 14,231.17 × 7,289.50
  4. Step 4: Simplify right side
    9,479.23x = 103,738,113.72
  5. Step 5: Solve for x
    x = 103,738,113.72/9,479.23
  6. Step 6: Final answer
    x = 10,943.73

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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.