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Finding the Fourth Proportional to 9,794.70, 14,699.34 and 3,951.36

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Solution

The fourth proportional to 9,794.70, 14,699.34 and 3,951.36 is: 5,929.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.70 : 14,699.34 = 3,951.36 : x
  2. Step 2: Convert to fraction form
    9,794.70/14,699.34 = 3,951.36/x
  3. Step 3: Cross multiply
    9,794.70x = 14,699.34 × 3,951.36
  4. Step 4: Simplify right side
    9,794.70x = 58,082,384.10
  5. Step 5: Solve for x
    x = 58,082,384.10/9,794.70
  6. Step 6: Final answer
    x = 5,929.98

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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.