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Finding the Fourth Proportional to 9,164.96, 12,645.72 and 5,187.04

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Solution

The fourth proportional to 9,164.96, 12,645.72 and 5,187.04 is: 7,157.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.96 : 12,645.72 = 5,187.04 : x
  2. Step 2: Convert to fraction form
    9,164.96/12,645.72 = 5,187.04/x
  3. Step 3: Cross multiply
    9,164.96x = 12,645.72 × 5,187.04
  4. Step 4: Simplify right side
    9,164.96x = 65,593,855.47
  5. Step 5: Solve for x
    x = 65,593,855.47/9,164.96
  6. Step 6: Final answer
    x = 7,157.03

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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.