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Finding the Fourth Proportional to 9,325.50, 13,988.39 and 2,400

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Solution

The fourth proportional to 9,325.50, 13,988.39 and 2,400 is: 3,600.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,325.50 : 13,988.39 = 2,400 : x
  2. Step 2: Convert to fraction form
    9,325.50/13,988.39 = 2,400/x
  3. Step 3: Cross multiply
    9,325.50x = 13,988.39 × 2,400
  4. Step 4: Simplify right side
    9,325.50x = 33,572,124
  5. Step 5: Solve for x
    x = 33,572,124/9,325.50
  6. Step 6: Final answer
    x = 3,600.03

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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.