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Finding the Fourth Proportional to 9,941, 14,911.46 and 7,751.34

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Solution

The fourth proportional to 9,941, 14,911.46 and 7,751.34 is: 11,626.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,941 : 14,911.46 = 7,751.34 : x
  2. Step 2: Convert to fraction form
    9,941/14,911.46 = 7,751.34/x
  3. Step 3: Cross multiply
    9,941x = 14,911.46 × 7,751.34
  4. Step 4: Simplify right side
    9,941x = 115,583,796.36
  5. Step 5: Solve for x
    x = 115,583,796.36/9,941
  6. Step 6: Final answer
    x = 11,626.98

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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.