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Finding the Fourth Proportional to 9,200.13, 12,696.18 and 5,008.38

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Solution

The fourth proportional to 9,200.13, 12,696.18 and 5,008.38 is: 6,911.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.13 : 12,696.18 = 5,008.38 : x
  2. Step 2: Convert to fraction form
    9,200.13/12,696.18 = 5,008.38/x
  3. Step 3: Cross multiply
    9,200.13x = 12,696.18 × 5,008.38
  4. Step 4: Simplify right side
    9,200.13x = 63,587,205.47
  5. Step 5: Solve for x
    x = 63,587,205.47/9,200.13
  6. Step 6: Final answer
    x = 6,911.56

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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.