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Finding the Fourth Proportional to 7,196.32, 9,930.36 and 4,211.76

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Solution

The fourth proportional to 7,196.32, 9,930.36 and 4,211.76 is: 5,811.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,196.32 : 9,930.36 = 4,211.76 : x
  2. Step 2: Convert to fraction form
    7,196.32/9,930.36 = 4,211.76/x
  3. Step 3: Cross multiply
    7,196.32x = 9,930.36 × 4,211.76
  4. Step 4: Simplify right side
    7,196.32x = 41,824,293.03
  5. Step 5: Solve for x
    x = 41,824,293.03/7,196.32
  6. Step 6: Final answer
    x = 5,811.90

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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.