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Finding the Fourth Proportional to 9,667.95, 14,496.85 and 3,093.28

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Solution

The fourth proportional to 9,667.95, 14,496.85 and 3,093.28 is: 4,638.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.95 : 14,496.85 = 3,093.28 : x
  2. Step 2: Convert to fraction form
    9,667.95/14,496.85 = 3,093.28/x
  3. Step 3: Cross multiply
    9,667.95x = 14,496.85 × 3,093.28
  4. Step 4: Simplify right side
    9,667.95x = 44,842,816.17
  5. Step 5: Solve for x
    x = 44,842,816.17/9,667.95
  6. Step 6: Final answer
    x = 4,638.30

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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.