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Finding the Fourth Proportional to 9,604.68, 13,245.67 and 6,584.19

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Solution

The fourth proportional to 9,604.68, 13,245.67 and 6,584.19 is: 9,080.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604.68 : 13,245.67 = 6,584.19 : x
  2. Step 2: Convert to fraction form
    9,604.68/13,245.67 = 6,584.19/x
  3. Step 3: Cross multiply
    9,604.68x = 13,245.67 × 6,584.19
  4. Step 4: Simplify right side
    9,604.68x = 87,212,007.96
  5. Step 5: Solve for x
    x = 87,212,007.96/9,604.68
  6. Step 6: Final answer
    x = 9,080.16

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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.