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Finding the Fourth Proportional to 9,796.92, 14,693.70 and 3,223.14

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Solution

The fourth proportional to 9,796.92, 14,693.70 and 3,223.14 is: 4,834.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.92 : 14,693.70 = 3,223.14 : x
  2. Step 2: Convert to fraction form
    9,796.92/14,693.70 = 3,223.14/x
  3. Step 3: Cross multiply
    9,796.92x = 14,693.70 × 3,223.14
  4. Step 4: Simplify right side
    9,796.92x = 47,359,852.22
  5. Step 5: Solve for x
    x = 47,359,852.22/9,796.92
  6. Step 6: Final answer
    x = 4,834.16

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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.