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Finding the Fourth Proportional to 9,005.50, 13,523.19 and 5,564.62

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Solution

The fourth proportional to 9,005.50, 13,523.19 and 5,564.62 is: 8,356.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,005.50 : 13,523.19 = 5,564.62 : x
  2. Step 2: Convert to fraction form
    9,005.50/13,523.19 = 5,564.62/x
  3. Step 3: Cross multiply
    9,005.50x = 13,523.19 × 5,564.62
  4. Step 4: Simplify right side
    9,005.50x = 75,251,413.54
  5. Step 5: Solve for x
    x = 75,251,413.54/9,005.50
  6. Step 6: Final answer
    x = 8,356.16

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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.