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Finding the Fourth Proportional to 9,552.86, 14,308.23 and 7,469.54

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Solution

The fourth proportional to 9,552.86, 14,308.23 and 7,469.54 is: 11,187.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,552.86 : 14,308.23 = 7,469.54 : x
  2. Step 2: Convert to fraction form
    9,552.86/14,308.23 = 7,469.54/x
  3. Step 3: Cross multiply
    9,552.86x = 14,308.23 × 7,469.54
  4. Step 4: Simplify right side
    9,552.86x = 106,875,896.31
  5. Step 5: Solve for x
    x = 106,875,896.31/9,552.86
  6. Step 6: Final answer
    x = 11,187.84

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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.