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Finding the Fourth Proportional to 9,708.80, 13,399.68 and 6,168.32

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Solution

The fourth proportional to 9,708.80, 13,399.68 and 6,168.32 is: 8,513.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.80 : 13,399.68 = 6,168.32 : x
  2. Step 2: Convert to fraction form
    9,708.80/13,399.68 = 6,168.32/x
  3. Step 3: Cross multiply
    9,708.80x = 13,399.68 × 6,168.32
  4. Step 4: Simplify right side
    9,708.80x = 82,653,514.14
  5. Step 5: Solve for x
    x = 82,653,514.14/9,708.80
  6. Step 6: Final answer
    x = 8,513.26

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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.