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Finding the Fourth Proportional to 9,196.98, 12,688.54 and 6,172.84

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Solution

The fourth proportional to 9,196.98, 12,688.54 and 6,172.84 is: 8,516.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.98 : 12,688.54 = 6,172.84 : x
  2. Step 2: Convert to fraction form
    9,196.98/12,688.54 = 6,172.84/x
  3. Step 3: Cross multiply
    9,196.98x = 12,688.54 × 6,172.84
  4. Step 4: Simplify right side
    9,196.98x = 78,324,327.25
  5. Step 5: Solve for x
    x = 78,324,327.25/9,196.98
  6. Step 6: Final answer
    x = 8,516.31

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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.