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Finding the Fourth Proportional to 6,986.68, 9,638.64 and 5,919.90

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Solution

The fourth proportional to 6,986.68, 9,638.64 and 5,919.90 is: 8,166.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.68 : 9,638.64 = 5,919.90 : x
  2. Step 2: Convert to fraction form
    6,986.68/9,638.64 = 5,919.90/x
  3. Step 3: Cross multiply
    6,986.68x = 9,638.64 × 5,919.90
  4. Step 4: Simplify right side
    6,986.68x = 57,059,784.94
  5. Step 5: Solve for x
    x = 57,059,784.94/6,986.68
  6. Step 6: Final answer
    x = 8,166.94

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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.