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Finding the Fourth Proportional to 9,567.11, 13,120.25 and 9,167.99

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Solution

The fourth proportional to 9,567.11, 13,120.25 and 9,167.99 is: 12,572.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,567.11 : 13,120.25 = 9,167.99 : x
  2. Step 2: Convert to fraction form
    9,567.11/13,120.25 = 9,167.99/x
  3. Step 3: Cross multiply
    9,567.11x = 13,120.25 × 9,167.99
  4. Step 4: Simplify right side
    9,567.11x = 120,286,209.36
  5. Step 5: Solve for x
    x = 120,286,209.36/9,567.11
  6. Step 6: Final answer
    x = 12,572.89

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.