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Finding the Fourth Proportional to 9,318, 13,977 and 2,392.50

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Solution

The fourth proportional to 9,318, 13,977 and 2,392.50 is: 3,588.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,318 : 13,977 = 2,392.50 : x
  2. Step 2: Convert to fraction form
    9,318/13,977 = 2,392.50/x
  3. Step 3: Cross multiply
    9,318x = 13,977 × 2,392.50
  4. Step 4: Simplify right side
    9,318x = 33,439,972.50
  5. Step 5: Solve for x
    x = 33,439,972.50/9,318
  6. Step 6: Final answer
    x = 3,588.75

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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.