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Finding the Fourth Proportional to 9,117.52, 13,677.90 and 3,194.80

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Solution

The fourth proportional to 9,117.52, 13,677.90 and 3,194.80 is: 4,792.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117.52 : 13,677.90 = 3,194.80 : x
  2. Step 2: Convert to fraction form
    9,117.52/13,677.90 = 3,194.80/x
  3. Step 3: Cross multiply
    9,117.52x = 13,677.90 × 3,194.80
  4. Step 4: Simplify right side
    9,117.52x = 43,698,154.92
  5. Step 5: Solve for x
    x = 43,698,154.92/9,117.52
  6. Step 6: Final answer
    x = 4,792.77

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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.