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Finding the Fourth Proportional to 9,131.50, 13,689.03 and 3,284

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Solution

The fourth proportional to 9,131.50, 13,689.03 and 3,284 is: 4,923.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,131.50 : 13,689.03 = 3,284 : x
  2. Step 2: Convert to fraction form
    9,131.50/13,689.03 = 3,284/x
  3. Step 3: Cross multiply
    9,131.50x = 13,689.03 × 3,284
  4. Step 4: Simplify right side
    9,131.50x = 44,954,774.52
  5. Step 5: Solve for x
    x = 44,954,774.52/9,131.50
  6. Step 6: Final answer
    x = 4,923.04

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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.