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Finding the Fourth Proportional to 9,178.46, 12,670.16 and 6,198.34

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Solution

The fourth proportional to 9,178.46, 12,670.16 and 6,198.34 is: 8,556.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.46 : 12,670.16 = 6,198.34 : x
  2. Step 2: Convert to fraction form
    9,178.46/12,670.16 = 6,198.34/x
  3. Step 3: Cross multiply
    9,178.46x = 12,670.16 × 6,198.34
  4. Step 4: Simplify right side
    9,178.46x = 78,533,959.53
  5. Step 5: Solve for x
    x = 78,533,959.53/9,178.46
  6. Step 6: Final answer
    x = 8,556.33

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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.