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Finding the Fourth Proportional to 9,608.71, 13,254.68 and 5,629.05

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Solution

The fourth proportional to 9,608.71, 13,254.68 and 5,629.05 is: 7,764.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.71 : 13,254.68 = 5,629.05 : x
  2. Step 2: Convert to fraction form
    9,608.71/13,254.68 = 5,629.05/x
  3. Step 3: Cross multiply
    9,608.71x = 13,254.68 × 5,629.05
  4. Step 4: Simplify right side
    9,608.71x = 74,611,256.45
  5. Step 5: Solve for x
    x = 74,611,256.45/9,608.71
  6. Step 6: Final answer
    x = 7,764.96

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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.