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Finding the Fourth Proportional to 9,627.56, 13,282.25 and 5,647.22

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Solution

The fourth proportional to 9,627.56, 13,282.25 and 5,647.22 is: 7,790.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,627.56 : 13,282.25 = 5,647.22 : x
  2. Step 2: Convert to fraction form
    9,627.56/13,282.25 = 5,647.22/x
  3. Step 3: Cross multiply
    9,627.56x = 13,282.25 × 5,647.22
  4. Step 4: Simplify right side
    9,627.56x = 75,007,693.20
  5. Step 5: Solve for x
    x = 75,007,693.20/9,627.56
  6. Step 6: Final answer
    x = 7,790.94

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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.