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Finding the Fourth Proportional to 9,105.26, 12,567 and 5,703.86

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Solution

The fourth proportional to 9,105.26, 12,567 and 5,703.86 is: 7,872.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105.26 : 12,567 = 5,703.86 : x
  2. Step 2: Convert to fraction form
    9,105.26/12,567 = 5,703.86/x
  3. Step 3: Cross multiply
    9,105.26x = 12,567 × 5,703.86
  4. Step 4: Simplify right side
    9,105.26x = 71,680,408.62
  5. Step 5: Solve for x
    x = 71,680,408.62/9,105.26
  6. Step 6: Final answer
    x = 7,872.42

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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.