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Finding the Fourth Proportional to 9,620.53, 13,272.67 and 5,842.26

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Solution

The fourth proportional to 9,620.53, 13,272.67 and 5,842.26 is: 8,060.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,620.53 : 13,272.67 = 5,842.26 : x
  2. Step 2: Convert to fraction form
    9,620.53/13,272.67 = 5,842.26/x
  3. Step 3: Cross multiply
    9,620.53x = 13,272.67 × 5,842.26
  4. Step 4: Simplify right side
    9,620.53x = 77,542,389.03
  5. Step 5: Solve for x
    x = 77,542,389.03/9,620.53
  6. Step 6: Final answer
    x = 8,060.10

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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.