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Finding the Fourth Proportional to 9,260.81, 12,764.63 and 6,902.09

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Solution

The fourth proportional to 9,260.81, 12,764.63 and 6,902.09 is: 9,513.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,260.81 : 12,764.63 = 6,902.09 : x
  2. Step 2: Convert to fraction form
    9,260.81/12,764.63 = 6,902.09/x
  3. Step 3: Cross multiply
    9,260.81x = 12,764.63 × 6,902.09
  4. Step 4: Simplify right side
    9,260.81x = 88,102,590.57
  5. Step 5: Solve for x
    x = 88,102,590.57/9,260.81
  6. Step 6: Final answer
    x = 9,513.49

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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.