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Finding the Fourth Proportional to 9,588.92, 14,384.38 and 2,663.44

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Solution

The fourth proportional to 9,588.92, 14,384.38 and 2,663.44 is: 3,995.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.92 : 14,384.38 = 2,663.44 : x
  2. Step 2: Convert to fraction form
    9,588.92/14,384.38 = 2,663.44/x
  3. Step 3: Cross multiply
    9,588.92x = 14,384.38 × 2,663.44
  4. Step 4: Simplify right side
    9,588.92x = 38,311,933.07
  5. Step 5: Solve for x
    x = 38,311,933.07/9,588.92
  6. Step 6: Final answer
    x = 3,995.44

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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.