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Finding the Fourth Proportional to 9,946.87, 13,726.97 and 5,470.91

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Solution

The fourth proportional to 9,946.87, 13,726.97 and 5,470.91 is: 7,550.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,946.87 : 13,726.97 = 5,470.91 : x
  2. Step 2: Convert to fraction form
    9,946.87/13,726.97 = 5,470.91/x
  3. Step 3: Cross multiply
    9,946.87x = 13,726.97 × 5,470.91
  4. Step 4: Simplify right side
    9,946.87x = 75,099,074.44
  5. Step 5: Solve for x
    x = 75,099,074.44/9,946.87
  6. Step 6: Final answer
    x = 7,550.02

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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.