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Finding the Fourth Proportional to 9,674.05, 13,350 and 6,310.48

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Solution

The fourth proportional to 9,674.05, 13,350 and 6,310.48 is: 8,708.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.05 : 13,350 = 6,310.48 : x
  2. Step 2: Convert to fraction form
    9,674.05/13,350 = 6,310.48/x
  3. Step 3: Cross multiply
    9,674.05x = 13,350 × 6,310.48
  4. Step 4: Simplify right side
    9,674.05x = 84,244,908
  5. Step 5: Solve for x
    x = 84,244,908/9,674.05
  6. Step 6: Final answer
    x = 8,708.34

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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.