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Finding the Fourth Proportional to 6,196.68, 9,298.01 and 3,076.11

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Solution

The fourth proportional to 6,196.68, 9,298.01 and 3,076.11 is: 4,615.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196.68 : 9,298.01 = 3,076.11 : x
  2. Step 2: Convert to fraction form
    6,196.68/9,298.01 = 3,076.11/x
  3. Step 3: Cross multiply
    6,196.68x = 9,298.01 × 3,076.11
  4. Step 4: Simplify right side
    6,196.68x = 28,601,709.23
  5. Step 5: Solve for x
    x = 28,601,709.23/6,196.68
  6. Step 6: Final answer
    x = 4,615.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.