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Finding the Fourth Proportional to 7,196.69, 9,932.15 and 4,212.35

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Solution

The fourth proportional to 7,196.69, 9,932.15 and 4,212.35 is: 5,813.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,196.69 : 9,932.15 = 4,212.35 : x
  2. Step 2: Convert to fraction form
    7,196.69/9,932.15 = 4,212.35/x
  3. Step 3: Cross multiply
    7,196.69x = 9,932.15 × 4,212.35
  4. Step 4: Simplify right side
    7,196.69x = 41,837,621.33
  5. Step 5: Solve for x
    x = 41,837,621.33/7,196.69
  6. Step 6: Final answer
    x = 5,813.46

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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.