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Finding the Fourth Proportional to 9,781.46, 13,498.44 and 5,305.21

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Solution

The fourth proportional to 9,781.46, 13,498.44 and 5,305.21 is: 7,321.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.46 : 13,498.44 = 5,305.21 : x
  2. Step 2: Convert to fraction form
    9,781.46/13,498.44 = 5,305.21/x
  3. Step 3: Cross multiply
    9,781.46x = 13,498.44 × 5,305.21
  4. Step 4: Simplify right side
    9,781.46x = 71,612,103.54
  5. Step 5: Solve for x
    x = 71,612,103.54/9,781.46
  6. Step 6: Final answer
    x = 7,321.21

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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.