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Finding the Fourth Proportional to 9,520.70, 14,283.21 and 5,138.06

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Solution

The fourth proportional to 9,520.70, 14,283.21 and 5,138.06 is: 7,708.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,520.70 : 14,283.21 = 5,138.06 : x
  2. Step 2: Convert to fraction form
    9,520.70/14,283.21 = 5,138.06/x
  3. Step 3: Cross multiply
    9,520.70x = 14,283.21 × 5,138.06
  4. Step 4: Simplify right side
    9,520.70x = 73,387,989.97
  5. Step 5: Solve for x
    x = 73,387,989.97/9,520.70
  6. Step 6: Final answer
    x = 7,708.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.