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Finding the Fourth Proportional to 9,208.38, 12,707.57 and 5,016.63

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Solution

The fourth proportional to 9,208.38, 12,707.57 and 5,016.63 is: 6,922.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208.38 : 12,707.57 = 5,016.63 : x
  2. Step 2: Convert to fraction form
    9,208.38/12,707.57 = 5,016.63/x
  3. Step 3: Cross multiply
    9,208.38x = 12,707.57 × 5,016.63
  4. Step 4: Simplify right side
    9,208.38x = 63,749,189.43
  5. Step 5: Solve for x
    x = 63,749,189.43/9,208.38
  6. Step 6: Final answer
    x = 6,922.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.