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Finding the Fourth Proportional to 9,517.72, 13,134.42 and 5,210.76

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Solution

The fourth proportional to 9,517.72, 13,134.42 and 5,210.76 is: 7,190.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,517.72 : 13,134.42 = 5,210.76 : x
  2. Step 2: Convert to fraction form
    9,517.72/13,134.42 = 5,210.76/x
  3. Step 3: Cross multiply
    9,517.72x = 13,134.42 × 5,210.76
  4. Step 4: Simplify right side
    9,517.72x = 68,440,310.36
  5. Step 5: Solve for x
    x = 68,440,310.36/9,517.72
  6. Step 6: Final answer
    x = 7,190.83

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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.