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Finding the Fourth Proportional to 9,188.76, 12,684.78 and 5,410.71

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Solution

The fourth proportional to 9,188.76, 12,684.78 and 5,410.71 is: 7,469.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.76 : 12,684.78 = 5,410.71 : x
  2. Step 2: Convert to fraction form
    9,188.76/12,684.78 = 5,410.71/x
  3. Step 3: Cross multiply
    9,188.76x = 12,684.78 × 5,410.71
  4. Step 4: Simplify right side
    9,188.76x = 68,633,665.99
  5. Step 5: Solve for x
    x = 68,633,665.99/9,188.76
  6. Step 6: Final answer
    x = 7,469.31

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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.