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Finding the Fourth Proportional to 9,209.46, 13,814.17 and 2,635.64

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Solution

The fourth proportional to 9,209.46, 13,814.17 and 2,635.64 is: 3,953.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.46 : 13,814.17 = 2,635.64 : x
  2. Step 2: Convert to fraction form
    9,209.46/13,814.17 = 2,635.64/x
  3. Step 3: Cross multiply
    9,209.46x = 13,814.17 × 2,635.64
  4. Step 4: Simplify right side
    9,209.46x = 36,409,103.36
  5. Step 5: Solve for x
    x = 36,409,103.36/9,209.46
  6. Step 6: Final answer
    x = 3,953.45

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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.