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Finding the Fourth Proportional to 9,261.94, 13,894.35 and 3,104.50

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Solution

The fourth proportional to 9,261.94, 13,894.35 and 3,104.50 is: 4,657.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,261.94 : 13,894.35 = 3,104.50 : x
  2. Step 2: Convert to fraction form
    9,261.94/13,894.35 = 3,104.50/x
  3. Step 3: Cross multiply
    9,261.94x = 13,894.35 × 3,104.50
  4. Step 4: Simplify right side
    9,261.94x = 43,135,009.58
  5. Step 5: Solve for x
    x = 43,135,009.58/9,261.94
  6. Step 6: Final answer
    x = 4,657.23

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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.