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Finding the Fourth Proportional to 9,663.32, 14,494.75 and 3,089.56

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Solution

The fourth proportional to 9,663.32, 14,494.75 and 3,089.56 is: 4,634.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.32 : 14,494.75 = 3,089.56 : x
  2. Step 2: Convert to fraction form
    9,663.32/14,494.75 = 3,089.56/x
  3. Step 3: Cross multiply
    9,663.32x = 14,494.75 × 3,089.56
  4. Step 4: Simplify right side
    9,663.32x = 44,782,383.03
  5. Step 5: Solve for x
    x = 44,782,383.03/9,663.32
  6. Step 6: Final answer
    x = 4,634.27

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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.