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Finding the Fourth Proportional to 7,195.82, 9,934.53 and 5,204.30

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Solution

The fourth proportional to 7,195.82, 9,934.53 and 5,204.30 is: 7,185.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,195.82 : 9,934.53 = 5,204.30 : x
  2. Step 2: Convert to fraction form
    7,195.82/9,934.53 = 5,204.30/x
  3. Step 3: Cross multiply
    7,195.82x = 9,934.53 × 5,204.30
  4. Step 4: Simplify right side
    7,195.82x = 51,702,274.48
  5. Step 5: Solve for x
    x = 51,702,274.48/7,195.82
  6. Step 6: Final answer
    x = 7,185.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.