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Finding the Fourth Proportional to 9,837.36, 13,575.74 and 5,645.61

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Solution

The fourth proportional to 9,837.36, 13,575.74 and 5,645.61 is: 7,791.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,837.36 : 13,575.74 = 5,645.61 : x
  2. Step 2: Convert to fraction form
    9,837.36/13,575.74 = 5,645.61/x
  3. Step 3: Cross multiply
    9,837.36x = 13,575.74 × 5,645.61
  4. Step 4: Simplify right side
    9,837.36x = 76,643,305.27
  5. Step 5: Solve for x
    x = 76,643,305.27/9,837.36
  6. Step 6: Final answer
    x = 7,791.04

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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.