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Finding the Fourth Proportional to 9,842.16, 14,767.60 and 5,161.06

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Solution

The fourth proportional to 9,842.16, 14,767.60 and 5,161.06 is: 7,743.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.16 : 14,767.60 = 5,161.06 : x
  2. Step 2: Convert to fraction form
    9,842.16/14,767.60 = 5,161.06/x
  3. Step 3: Cross multiply
    9,842.16x = 14,767.60 × 5,161.06
  4. Step 4: Simplify right side
    9,842.16x = 76,216,469.66
  5. Step 5: Solve for x
    x = 76,216,469.66/9,842.16
  6. Step 6: Final answer
    x = 7,743.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.