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Finding the Fourth Proportional to 6,178.62, 9,268.80 and 2,017.59

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Solution

The fourth proportional to 6,178.62, 9,268.80 and 2,017.59 is: 3,026.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.62 : 9,268.80 = 2,017.59 : x
  2. Step 2: Convert to fraction form
    6,178.62/9,268.80 = 2,017.59/x
  3. Step 3: Cross multiply
    6,178.62x = 9,268.80 × 2,017.59
  4. Step 4: Simplify right side
    6,178.62x = 18,700,638.19
  5. Step 5: Solve for x
    x = 18,700,638.19/6,178.62
  6. Step 6: Final answer
    x = 3,026.67

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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.