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Finding the Fourth Proportional to 9,235.50, 13,852.88 and 3,687.34

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Solution

The fourth proportional to 9,235.50, 13,852.88 and 3,687.34 is: 5,530.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,235.50 : 13,852.88 = 3,687.34 : x
  2. Step 2: Convert to fraction form
    9,235.50/13,852.88 = 3,687.34/x
  3. Step 3: Cross multiply
    9,235.50x = 13,852.88 × 3,687.34
  4. Step 4: Simplify right side
    9,235.50x = 51,080,278.54
  5. Step 5: Solve for x
    x = 51,080,278.54/9,235.50
  6. Step 6: Final answer
    x = 5,530.86

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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.