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Finding the Fourth Proportional to 9,348.62, 14,022.92 and 2,774.86

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Solution

The fourth proportional to 9,348.62, 14,022.92 and 2,774.86 is: 4,162.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,348.62 : 14,022.92 = 2,774.86 : x
  2. Step 2: Convert to fraction form
    9,348.62/14,022.92 = 2,774.86/x
  3. Step 3: Cross multiply
    9,348.62x = 14,022.92 × 2,774.86
  4. Step 4: Simplify right side
    9,348.62x = 38,911,611.67
  5. Step 5: Solve for x
    x = 38,911,611.67/9,348.62
  6. Step 6: Final answer
    x = 4,162.29

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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.