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Finding the Fourth Proportional to 7,196.84, 9,936.23 and 5,873.70

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Solution

The fourth proportional to 7,196.84, 9,936.23 and 5,873.70 is: 8,109.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,196.84 : 9,936.23 = 5,873.70 : x
  2. Step 2: Convert to fraction form
    7,196.84/9,936.23 = 5,873.70/x
  3. Step 3: Cross multiply
    7,196.84x = 9,936.23 × 5,873.70
  4. Step 4: Simplify right side
    7,196.84x = 58,362,404.78
  5. Step 5: Solve for x
    x = 58,362,404.78/7,196.84
  6. Step 6: Final answer
    x = 8,109.45

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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.