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Finding the Fourth Proportional to 9,200.64, 12,696.64 and 5,008.80

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Solution

The fourth proportional to 9,200.64, 12,696.64 and 5,008.80 is: 6,912.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.64 : 12,696.64 = 5,008.80 : x
  2. Step 2: Convert to fraction form
    9,200.64/12,696.64 = 5,008.80/x
  3. Step 3: Cross multiply
    9,200.64x = 12,696.64 × 5,008.80
  4. Step 4: Simplify right side
    9,200.64x = 63,594,930.43
  5. Step 5: Solve for x
    x = 63,594,930.43/9,200.64
  6. Step 6: Final answer
    x = 6,912.01

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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.