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Finding the Fourth Proportional to 9,170.96, 12,654.70 and 5,191.97

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Solution

The fourth proportional to 9,170.96, 12,654.70 and 5,191.97 is: 7,164.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,170.96 : 12,654.70 = 5,191.97 : x
  2. Step 2: Convert to fraction form
    9,170.96/12,654.70 = 5,191.97/x
  3. Step 3: Cross multiply
    9,170.96x = 12,654.70 × 5,191.97
  4. Step 4: Simplify right side
    9,170.96x = 65,702,746.51
  5. Step 5: Solve for x
    x = 65,702,746.51/9,170.96
  6. Step 6: Final answer
    x = 7,164.22

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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.