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Finding the Fourth Proportional to 9,663.87, 14,494.89 and 3,088.29

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Solution

The fourth proportional to 9,663.87, 14,494.89 and 3,088.29 is: 4,632.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.87 : 14,494.89 = 3,088.29 : x
  2. Step 2: Convert to fraction form
    9,663.87/14,494.89 = 3,088.29/x
  3. Step 3: Cross multiply
    9,663.87x = 14,494.89 × 3,088.29
  4. Step 4: Simplify right side
    9,663.87x = 44,764,431.56
  5. Step 5: Solve for x
    x = 44,764,431.56/9,663.87
  6. Step 6: Final answer
    x = 4,632.14

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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.