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Finding the Fourth Proportional to 9,797.20, 14,696.67 and 3,223.24

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Solution

The fourth proportional to 9,797.20, 14,696.67 and 3,223.24 is: 4,835.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.20 : 14,696.67 = 3,223.24 : x
  2. Step 2: Convert to fraction form
    9,797.20/14,696.67 = 3,223.24/x
  3. Step 3: Cross multiply
    9,797.20x = 14,696.67 × 3,223.24
  4. Step 4: Simplify right side
    9,797.20x = 47,370,894.61
  5. Step 5: Solve for x
    x = 47,370,894.61/9,797.20
  6. Step 6: Final answer
    x = 4,835.15

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Why These Related Problems?

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