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Finding the Fourth Proportional to 9,800.40, 14,700.40 and 3,223.92

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Solution

The fourth proportional to 9,800.40, 14,700.40 and 3,223.92 is: 4,835.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800.40 : 14,700.40 = 3,223.92 : x
  2. Step 2: Convert to fraction form
    9,800.40/14,700.40 = 3,223.92/x
  3. Step 3: Cross multiply
    9,800.40x = 14,700.40 × 3,223.92
  4. Step 4: Simplify right side
    9,800.40x = 47,392,913.57
  5. Step 5: Solve for x
    x = 47,392,913.57/9,800.40
  6. Step 6: Final answer
    x = 4,835.81

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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.