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Finding the Fourth Proportional to 7,196.94, 9,932.49 and 4,212.60

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Solution

The fourth proportional to 7,196.94, 9,932.49 and 4,212.60 is: 5,813.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,196.94 : 9,932.49 = 4,212.60 : x
  2. Step 2: Convert to fraction form
    7,196.94/9,932.49 = 4,212.60/x
  3. Step 3: Cross multiply
    7,196.94x = 9,932.49 × 4,212.60
  4. Step 4: Simplify right side
    7,196.94x = 41,841,557.71
  5. Step 5: Solve for x
    x = 41,841,557.71/7,196.94
  6. Step 6: Final answer
    x = 5,813.80

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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.