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Finding the Fourth Proportional to 9,705.26, 13,379.69 and 8,207.16

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Solution

The fourth proportional to 9,705.26, 13,379.69 and 8,207.16 is: 11,314.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.26 : 13,379.69 = 8,207.16 : x
  2. Step 2: Convert to fraction form
    9,705.26/13,379.69 = 8,207.16/x
  3. Step 3: Cross multiply
    9,705.26x = 13,379.69 × 8,207.16
  4. Step 4: Simplify right side
    9,705.26x = 109,809,256.58
  5. Step 5: Solve for x
    x = 109,809,256.58/9,705.26
  6. Step 6: Final answer
    x = 11,314.41

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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.