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Finding the Fourth Proportional to 7,196.99, 9,929.90 and 4,213.55

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Solution

The fourth proportional to 7,196.99, 9,929.90 and 4,213.55 is: 5,813.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,196.99 : 9,929.90 = 4,213.55 : x
  2. Step 2: Convert to fraction form
    7,196.99/9,929.90 = 4,213.55/x
  3. Step 3: Cross multiply
    7,196.99x = 9,929.90 × 4,213.55
  4. Step 4: Simplify right side
    7,196.99x = 41,840,059.43
  5. Step 5: Solve for x
    x = 41,840,059.43/7,196.99
  6. Step 6: Final answer
    x = 5,813.55

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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.