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Finding the Fourth Proportional to 9,837.56, 14,680.26 and 8,786.24

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Solution

The fourth proportional to 9,837.56, 14,680.26 and 8,786.24 is: 13,111.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,837.56 : 14,680.26 = 8,786.24 : x
  2. Step 2: Convert to fraction form
    9,837.56/14,680.26 = 8,786.24/x
  3. Step 3: Cross multiply
    9,837.56x = 14,680.26 × 8,786.24
  4. Step 4: Simplify right side
    9,837.56x = 128,984,287.62
  5. Step 5: Solve for x
    x = 128,984,287.62/9,837.56
  6. Step 6: Final answer
    x = 13,111.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.