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Finding the Fourth Proportional to 9,238.32, 13,859.46 and 2,998.68

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Solution

The fourth proportional to 9,238.32, 13,859.46 and 2,998.68 is: 4,498.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,238.32 : 13,859.46 = 2,998.68 : x
  2. Step 2: Convert to fraction form
    9,238.32/13,859.46 = 2,998.68/x
  3. Step 3: Cross multiply
    9,238.32x = 13,859.46 × 2,998.68
  4. Step 4: Simplify right side
    9,238.32x = 41,560,085.51
  5. Step 5: Solve for x
    x = 41,560,085.51/9,238.32
  6. Step 6: Final answer
    x = 4,498.66

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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.