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Finding the Fourth Proportional to 6,211.72, 9,314.16 and 2,923.12

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Solution

The fourth proportional to 6,211.72, 9,314.16 and 2,923.12 is: 4,383.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,211.72 : 9,314.16 = 2,923.12 : x
  2. Step 2: Convert to fraction form
    6,211.72/9,314.16 = 2,923.12/x
  3. Step 3: Cross multiply
    6,211.72x = 9,314.16 × 2,923.12
  4. Step 4: Simplify right side
    6,211.72x = 27,226,407.38
  5. Step 5: Solve for x
    x = 27,226,407.38/6,211.72
  6. Step 6: Final answer
    x = 4,383.07

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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.