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Finding the Fourth Proportional to 9,216.45, 13,800.06 and 5,509.47

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Solution

The fourth proportional to 9,216.45, 13,800.06 and 5,509.47 is: 8,249.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,216.45 : 13,800.06 = 5,509.47 : x
  2. Step 2: Convert to fraction form
    9,216.45/13,800.06 = 5,509.47/x
  3. Step 3: Cross multiply
    9,216.45x = 13,800.06 × 5,509.47
  4. Step 4: Simplify right side
    9,216.45x = 76,031,016.57
  5. Step 5: Solve for x
    x = 76,031,016.57/9,216.45
  6. Step 6: Final answer
    x = 8,249.49

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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.