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Finding the Fourth Proportional to 9,608.44, 13,258.47 and 5,628.64

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Solution

The fourth proportional to 9,608.44, 13,258.47 and 5,628.64 is: 7,766.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.44 : 13,258.47 = 5,628.64 : x
  2. Step 2: Convert to fraction form
    9,608.44/13,258.47 = 5,628.64/x
  3. Step 3: Cross multiply
    9,608.44x = 13,258.47 × 5,628.64
  4. Step 4: Simplify right side
    9,608.44x = 74,627,154.58
  5. Step 5: Solve for x
    x = 74,627,154.58/9,608.44
  6. Step 6: Final answer
    x = 7,766.83

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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.