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Finding the Fourth Proportional to 9,088.69, 13,623.21 and 3,822.48

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Solution

The fourth proportional to 9,088.69, 13,623.21 and 3,822.48 is: 5,729.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,088.69 : 13,623.21 = 3,822.48 : x
  2. Step 2: Convert to fraction form
    9,088.69/13,623.21 = 3,822.48/x
  3. Step 3: Cross multiply
    9,088.69x = 13,623.21 × 3,822.48
  4. Step 4: Simplify right side
    9,088.69x = 52,074,447.76
  5. Step 5: Solve for x
    x = 52,074,447.76/9,088.69
  6. Step 6: Final answer
    x = 5,729.59

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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.