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Finding the Fourth Proportional to 9,608.14, 13,259.27 and 5,359.45

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Solution

The fourth proportional to 9,608.14, 13,259.27 and 5,359.45 is: 7,396.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.14 : 13,259.27 = 5,359.45 : x
  2. Step 2: Convert to fraction form
    9,608.14/13,259.27 = 5,359.45/x
  3. Step 3: Cross multiply
    9,608.14x = 13,259.27 × 5,359.45
  4. Step 4: Simplify right side
    9,608.14x = 71,062,394.60
  5. Step 5: Solve for x
    x = 71,062,394.60/9,608.14
  6. Step 6: Final answer
    x = 7,396.06

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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.