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Finding the Fourth Proportional to 9,774.62, 14,661.44 and 3,199.94

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Solution

The fourth proportional to 9,774.62, 14,661.44 and 3,199.94 is: 4,799.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.62 : 14,661.44 = 3,199.94 : x
  2. Step 2: Convert to fraction form
    9,774.62/14,661.44 = 3,199.94/x
  3. Step 3: Cross multiply
    9,774.62x = 14,661.44 × 3,199.94
  4. Step 4: Simplify right side
    9,774.62x = 46,915,728.31
  5. Step 5: Solve for x
    x = 46,915,728.31/9,774.62
  6. Step 6: Final answer
    x = 4,799.75

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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.