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Finding the Fourth Proportional to 12,438.46, 17,165.09 and 6,849.46

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Solution

The fourth proportional to 12,438.46, 17,165.09 and 6,849.46 is: 9,452.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,438.46 : 17,165.09 = 6,849.46 : x
  2. Step 2: Convert to fraction form
    12,438.46/17,165.09 = 6,849.46/x
  3. Step 3: Cross multiply
    12,438.46x = 17,165.09 × 6,849.46
  4. Step 4: Simplify right side
    12,438.46x = 117,571,597.35
  5. Step 5: Solve for x
    x = 117,571,597.35/12,438.46
  6. Step 6: Final answer
    x = 9,452.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.