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Finding the Fourth Proportional to 9,200.74, 12,696.90 and 5,424.07

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Solution

The fourth proportional to 9,200.74, 12,696.90 and 5,424.07 is: 7,485.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.74 : 12,696.90 = 5,424.07 : x
  2. Step 2: Convert to fraction form
    9,200.74/12,696.90 = 5,424.07/x
  3. Step 3: Cross multiply
    9,200.74x = 12,696.90 × 5,424.07
  4. Step 4: Simplify right side
    9,200.74x = 68,868,874.38
  5. Step 5: Solve for x
    x = 68,868,874.38/9,200.74
  6. Step 6: Final answer
    x = 7,485.15

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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.