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Finding the Fourth Proportional to 6,712.23, 9,259.67 and 4,723.89

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Solution

The fourth proportional to 6,712.23, 9,259.67 and 4,723.89 is: 6,516.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,712.23 : 9,259.67 = 4,723.89 : x
  2. Step 2: Convert to fraction form
    6,712.23/9,259.67 = 4,723.89/x
  3. Step 3: Cross multiply
    6,712.23x = 9,259.67 × 4,723.89
  4. Step 4: Simplify right side
    6,712.23x = 43,741,638.90
  5. Step 5: Solve for x
    x = 43,741,638.90/6,712.23
  6. Step 6: Final answer
    x = 6,516.71

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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.