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Finding the Fourth Proportional to 9,749.92, 14,590.84 and 7,974.40

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Solution

The fourth proportional to 9,749.92, 14,590.84 and 7,974.40 is: 11,933.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,749.92 : 14,590.84 = 7,974.40 : x
  2. Step 2: Convert to fraction form
    9,749.92/14,590.84 = 7,974.40/x
  3. Step 3: Cross multiply
    9,749.92x = 14,590.84 × 7,974.40
  4. Step 4: Simplify right side
    9,749.92x = 116,353,194.50
  5. Step 5: Solve for x
    x = 116,353,194.50/9,749.92
  6. Step 6: Final answer
    x = 11,933.76

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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.