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Finding the Fourth Proportional to 9,798.16, 14,698.78 and 3,222.84

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Solution

The fourth proportional to 9,798.16, 14,698.78 and 3,222.84 is: 4,834.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798.16 : 14,698.78 = 3,222.84 : x
  2. Step 2: Convert to fraction form
    9,798.16/14,698.78 = 3,222.84/x
  3. Step 3: Cross multiply
    9,798.16x = 14,698.78 × 3,222.84
  4. Step 4: Simplify right side
    9,798.16x = 47,371,816.14
  5. Step 5: Solve for x
    x = 47,371,816.14/9,798.16
  6. Step 6: Final answer
    x = 4,834.77

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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.