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Finding the Fourth Proportional to 9,178.71, 12,670.50 and 6,198.59

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Solution

The fourth proportional to 9,178.71, 12,670.50 and 6,198.59 is: 8,556.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.71 : 12,670.50 = 6,198.59 : x
  2. Step 2: Convert to fraction form
    9,178.71/12,670.50 = 6,198.59/x
  3. Step 3: Cross multiply
    9,178.71x = 12,670.50 × 6,198.59
  4. Step 4: Simplify right side
    9,178.71x = 78,539,171.24
  5. Step 5: Solve for x
    x = 78,539,171.24/9,178.71
  6. Step 6: Final answer
    x = 8,556.67

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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.