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Finding the Fourth Proportional to 9,573.76, 13,212.80 and 5,596.16

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Solution

The fourth proportional to 9,573.76, 13,212.80 and 5,596.16 is: 7,723.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,573.76 : 13,212.80 = 5,596.16 : x
  2. Step 2: Convert to fraction form
    9,573.76/13,212.80 = 5,596.16/x
  3. Step 3: Cross multiply
    9,573.76x = 13,212.80 × 5,596.16
  4. Step 4: Simplify right side
    9,573.76x = 73,940,942.85
  5. Step 5: Solve for x
    x = 73,940,942.85/9,573.76
  6. Step 6: Final answer
    x = 7,723.29

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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.