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Finding the Fourth Proportional to 34,167.12, 51,246.87 and 9,209.66

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Solution

The fourth proportional to 34,167.12, 51,246.87 and 9,209.66 is: 13,813.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,167.12 : 51,246.87 = 9,209.66 : x
  2. Step 2: Convert to fraction form
    34,167.12/51,246.87 = 9,209.66/x
  3. Step 3: Cross multiply
    34,167.12x = 51,246.87 × 9,209.66
  4. Step 4: Simplify right side
    34,167.12x = 471,965,992.53
  5. Step 5: Solve for x
    x = 471,965,992.53/34,167.12
  6. Step 6: Final answer
    x = 13,813.46

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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.