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Finding the Fourth Proportional to 9,761.50, 13,470.85 and 5,285.25

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Solution

The fourth proportional to 9,761.50, 13,470.85 and 5,285.25 is: 7,293.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.50 : 13,470.85 = 5,285.25 : x
  2. Step 2: Convert to fraction form
    9,761.50/13,470.85 = 5,285.25/x
  3. Step 3: Cross multiply
    9,761.50x = 13,470.85 × 5,285.25
  4. Step 4: Simplify right side
    9,761.50x = 71,196,816.57
  5. Step 5: Solve for x
    x = 71,196,816.57/9,761.50
  6. Step 6: Final answer
    x = 7,293.63

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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.