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Finding the Fourth Proportional to 9,925.22, 13,696.96 and 5,449.38

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Solution

The fourth proportional to 9,925.22, 13,696.96 and 5,449.38 is: 7,520.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,925.22 : 13,696.96 = 5,449.38 : x
  2. Step 2: Convert to fraction form
    9,925.22/13,696.96 = 5,449.38/x
  3. Step 3: Cross multiply
    9,925.22x = 13,696.96 × 5,449.38
  4. Step 4: Simplify right side
    9,925.22x = 74,639,939.88
  5. Step 5: Solve for x
    x = 74,639,939.88/9,925.22
  6. Step 6: Final answer
    x = 7,520.23

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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.