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Finding the Fourth Proportional to 7,195.38, 9,929.64 and 4,051.63

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Solution

The fourth proportional to 7,195.38, 9,929.64 and 4,051.63 is: 5,591.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,195.38 : 9,929.64 = 4,051.63 : x
  2. Step 2: Convert to fraction form
    7,195.38/9,929.64 = 4,051.63/x
  3. Step 3: Cross multiply
    7,195.38x = 9,929.64 × 4,051.63
  4. Step 4: Simplify right side
    7,195.38x = 40,231,227.31
  5. Step 5: Solve for x
    x = 40,231,227.31/7,195.38
  6. Step 6: Final answer
    x = 5,591.26

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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.