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Finding the Fourth Proportional to 7,196.32, 9,935.22 and 5,204.80

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Solution

The fourth proportional to 7,196.32, 9,935.22 and 5,204.80 is: 7,185.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,196.32 : 9,935.22 = 5,204.80 : x
  2. Step 2: Convert to fraction form
    7,196.32/9,935.22 = 5,204.80/x
  3. Step 3: Cross multiply
    7,196.32x = 9,935.22 × 5,204.80
  4. Step 4: Simplify right side
    7,196.32x = 51,710,833.06
  5. Step 5: Solve for x
    x = 51,710,833.06/7,196.32
  6. Step 6: Final answer
    x = 7,185.73

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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.