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Finding the Fourth Proportional to 9,993.50, 15,007.26 and 9,575.54

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Solution

The fourth proportional to 9,993.50, 15,007.26 and 9,575.54 is: 14,379.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,993.50 : 15,007.26 = 9,575.54 : x
  2. Step 2: Convert to fraction form
    9,993.50/15,007.26 = 9,575.54/x
  3. Step 3: Cross multiply
    9,993.50x = 15,007.26 × 9,575.54
  4. Step 4: Simplify right side
    9,993.50x = 143,702,543.38
  5. Step 5: Solve for x
    x = 143,702,543.38/9,993.50
  6. Step 6: Final answer
    x = 14,379.61

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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.