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Finding the Fourth Proportional to 9,396.94, 14,097.01 and 3,239.50

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Solution

The fourth proportional to 9,396.94, 14,097.01 and 3,239.50 is: 4,859.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,396.94 : 14,097.01 = 3,239.50 : x
  2. Step 2: Convert to fraction form
    9,396.94/14,097.01 = 3,239.50/x
  3. Step 3: Cross multiply
    9,396.94x = 14,097.01 × 3,239.50
  4. Step 4: Simplify right side
    9,396.94x = 45,667,263.90
  5. Step 5: Solve for x
    x = 45,667,263.90/9,396.94
  6. Step 6: Final answer
    x = 4,859.80

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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.