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Finding the Fourth Proportional to 9,239.57, 12,748.43 and 6,855.05

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Solution

The fourth proportional to 9,239.57, 12,748.43 and 6,855.05 is: 9,458.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,239.57 : 12,748.43 = 6,855.05 : x
  2. Step 2: Convert to fraction form
    9,239.57/12,748.43 = 6,855.05/x
  3. Step 3: Cross multiply
    9,239.57x = 12,748.43 × 6,855.05
  4. Step 4: Simplify right side
    9,239.57x = 87,391,027.05
  5. Step 5: Solve for x
    x = 87,391,027.05/9,239.57
  6. Step 6: Final answer
    x = 9,458.35

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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.