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Finding the Fourth Proportional to 8,938.14, 13,407.14 and 3,744.02

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Solution

The fourth proportional to 8,938.14, 13,407.14 and 3,744.02 is: 5,616.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,938.14 : 13,407.14 = 3,744.02 : x
  2. Step 2: Convert to fraction form
    8,938.14/13,407.14 = 3,744.02/x
  3. Step 3: Cross multiply
    8,938.14x = 13,407.14 × 3,744.02
  4. Step 4: Simplify right side
    8,938.14x = 50,196,600.30
  5. Step 5: Solve for x
    x = 50,196,600.30/8,938.14
  6. Step 6: Final answer
    x = 5,616.00

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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.