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Finding the Fourth Proportional to 9,607.44, 13,257.09 and 5,627.64

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Solution

The fourth proportional to 9,607.44, 13,257.09 and 5,627.64 is: 7,765.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,607.44 : 13,257.09 = 5,627.64 : x
  2. Step 2: Convert to fraction form
    9,607.44/13,257.09 = 5,627.64/x
  3. Step 3: Cross multiply
    9,607.44x = 13,257.09 × 5,627.64
  4. Step 4: Simplify right side
    9,607.44x = 74,606,129.97
  5. Step 5: Solve for x
    x = 74,606,129.97/9,607.44
  6. Step 6: Final answer
    x = 7,765.45

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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.