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Finding the Fourth Proportional to 9,154.75, 13,736.21 and 4,221.74

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Solution

The fourth proportional to 9,154.75, 13,736.21 and 4,221.74 is: 6,334.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154.75 : 13,736.21 = 4,221.74 : x
  2. Step 2: Convert to fraction form
    9,154.75/13,736.21 = 4,221.74/x
  3. Step 3: Cross multiply
    9,154.75x = 13,736.21 × 4,221.74
  4. Step 4: Simplify right side
    9,154.75x = 57,990,707.21
  5. Step 5: Solve for x
    x = 57,990,707.21/9,154.75
  6. Step 6: Final answer
    x = 6,334.49

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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.