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Finding the Fourth Proportional to 9,608.01, 13,258.94 and 5,416.26

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Solution

The fourth proportional to 9,608.01, 13,258.94 and 5,416.26 is: 7,474.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.01 : 13,258.94 = 5,416.26 : x
  2. Step 2: Convert to fraction form
    9,608.01/13,258.94 = 5,416.26/x
  3. Step 3: Cross multiply
    9,608.01x = 13,258.94 × 5,416.26
  4. Step 4: Simplify right side
    9,608.01x = 71,813,839.28
  5. Step 5: Solve for x
    x = 71,813,839.28/9,608.01
  6. Step 6: Final answer
    x = 7,474.37

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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.