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Finding the Fourth Proportional to 9,767.22, 13,478.72 and 5,575.47

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Solution

The fourth proportional to 9,767.22, 13,478.72 and 5,575.47 is: 7,694.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.22 : 13,478.72 = 5,575.47 : x
  2. Step 2: Convert to fraction form
    9,767.22/13,478.72 = 5,575.47/x
  3. Step 3: Cross multiply
    9,767.22x = 13,478.72 × 5,575.47
  4. Step 4: Simplify right side
    9,767.22x = 75,150,171.12
  5. Step 5: Solve for x
    x = 75,150,171.12/9,767.22
  6. Step 6: Final answer
    x = 7,694.12

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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.