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Finding the Fourth Proportional to 9,608.42, 13,259.88 and 5,629.70

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Solution

The fourth proportional to 9,608.42, 13,259.88 and 5,629.70 is: 7,769.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.42 : 13,259.88 = 5,629.70 : x
  2. Step 2: Convert to fraction form
    9,608.42/13,259.88 = 5,629.70/x
  3. Step 3: Cross multiply
    9,608.42x = 13,259.88 × 5,629.70
  4. Step 4: Simplify right side
    9,608.42x = 74,649,080.14
  5. Step 5: Solve for x
    x = 74,649,080.14/9,608.42
  6. Step 6: Final answer
    x = 7,769.14

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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.