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Finding the Fourth Proportional to 9,164.72, 13,748.79 and 4,167.45

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Solution

The fourth proportional to 9,164.72, 13,748.79 and 4,167.45 is: 6,251.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.72 : 13,748.79 = 4,167.45 : x
  2. Step 2: Convert to fraction form
    9,164.72/13,748.79 = 4,167.45/x
  3. Step 3: Cross multiply
    9,164.72x = 13,748.79 × 4,167.45
  4. Step 4: Simplify right side
    9,164.72x = 57,297,394.89
  5. Step 5: Solve for x
    x = 57,297,394.89/9,164.72
  6. Step 6: Final answer
    x = 6,251.96

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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.