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Finding the Fourth Proportional to 9,191.56, 12,669.60 and 6,206.44

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Solution

The fourth proportional to 9,191.56, 12,669.60 and 6,206.44 is: 8,554.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,191.56 : 12,669.60 = 6,206.44 : x
  2. Step 2: Convert to fraction form
    9,191.56/12,669.60 = 6,206.44/x
  3. Step 3: Cross multiply
    9,191.56x = 12,669.60 × 6,206.44
  4. Step 4: Simplify right side
    9,191.56x = 78,633,112.22
  5. Step 5: Solve for x
    x = 78,633,112.22/9,191.56
  6. Step 6: Final answer
    x = 8,554.93

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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.