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Finding the Fourth Proportional to 9,164.34, 13,748.23 and 4,167.08

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Solution

The fourth proportional to 9,164.34, 13,748.23 and 4,167.08 is: 6,251.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.34 : 13,748.23 = 4,167.08 : x
  2. Step 2: Convert to fraction form
    9,164.34/13,748.23 = 4,167.08/x
  3. Step 3: Cross multiply
    9,164.34x = 13,748.23 × 4,167.08
  4. Step 4: Simplify right side
    9,164.34x = 57,289,962.29
  5. Step 5: Solve for x
    x = 57,289,962.29/9,164.34
  6. Step 6: Final answer
    x = 6,251.40

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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.