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Finding the Fourth Proportional to 9,724.08, 14,586.12 and 7,767.12

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Solution

The fourth proportional to 9,724.08, 14,586.12 and 7,767.12 is: 11,650.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,724.08 : 14,586.12 = 7,767.12 : x
  2. Step 2: Convert to fraction form
    9,724.08/14,586.12 = 7,767.12/x
  3. Step 3: Cross multiply
    9,724.08x = 14,586.12 × 7,767.12
  4. Step 4: Simplify right side
    9,724.08x = 113,292,144.37
  5. Step 5: Solve for x
    x = 113,292,144.37/9,724.08
  6. Step 6: Final answer
    x = 11,650.68

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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.