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Finding the Fourth Proportional to 9,269.62, 13,906.71 and 2,695.86

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Solution

The fourth proportional to 9,269.62, 13,906.71 and 2,695.86 is: 4,044.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,269.62 : 13,906.71 = 2,695.86 : x
  2. Step 2: Convert to fraction form
    9,269.62/13,906.71 = 2,695.86/x
  3. Step 3: Cross multiply
    9,269.62x = 13,906.71 × 2,695.86
  4. Step 4: Simplify right side
    9,269.62x = 37,490,543.22
  5. Step 5: Solve for x
    x = 37,490,543.22/9,269.62
  6. Step 6: Final answer
    x = 4,044.45

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