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Finding the Fourth Proportional to 8,838.42, 13,257.32 and 2,264.66

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Solution

The fourth proportional to 8,838.42, 13,257.32 and 2,264.66 is: 3,396.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,838.42 : 13,257.32 = 2,264.66 : x
  2. Step 2: Convert to fraction form
    8,838.42/13,257.32 = 2,264.66/x
  3. Step 3: Cross multiply
    8,838.42x = 13,257.32 × 2,264.66
  4. Step 4: Simplify right side
    8,838.42x = 30,023,322.31
  5. Step 5: Solve for x
    x = 30,023,322.31/8,838.42
  6. Step 6: Final answer
    x = 3,396.91

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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.