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Finding the Fourth Proportional to 9,088.63, 13,608.34 and 6,161.09

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Solution

The fourth proportional to 9,088.63, 13,608.34 and 6,161.09 is: 9,224.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,088.63 : 13,608.34 = 6,161.09 : x
  2. Step 2: Convert to fraction form
    9,088.63/13,608.34 = 6,161.09/x
  3. Step 3: Cross multiply
    9,088.63x = 13,608.34 × 6,161.09
  4. Step 4: Simplify right side
    9,088.63x = 83,842,124.05
  5. Step 5: Solve for x
    x = 83,842,124.05/9,088.63
  6. Step 6: Final answer
    x = 9,224.95

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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.