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Finding the Fourth Proportional to 9,680.56, 13,353.76 and 6,094.19

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Solution

The fourth proportional to 9,680.56, 13,353.76 and 6,094.19 is: 8,406.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,680.56 : 13,353.76 = 6,094.19 : x
  2. Step 2: Convert to fraction form
    9,680.56/13,353.76 = 6,094.19/x
  3. Step 3: Cross multiply
    9,680.56x = 13,353.76 × 6,094.19
  4. Step 4: Simplify right side
    9,680.56x = 81,380,316.54
  5. Step 5: Solve for x
    x = 81,380,316.54/9,680.56
  6. Step 6: Final answer
    x = 8,406.57

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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.