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Finding the Fourth Proportional to 9,142.50, 13,732.18 and 5,451.96

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Solution

The fourth proportional to 9,142.50, 13,732.18 and 5,451.96 is: 8,188.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.50 : 13,732.18 = 5,451.96 : x
  2. Step 2: Convert to fraction form
    9,142.50/13,732.18 = 5,451.96/x
  3. Step 3: Cross multiply
    9,142.50x = 13,732.18 × 5,451.96
  4. Step 4: Simplify right side
    9,142.50x = 74,867,296.07
  5. Step 5: Solve for x
    x = 74,867,296.07/9,142.50
  6. Step 6: Final answer
    x = 8,188.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.