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Finding the Fourth Proportional to 9,852.26, 14,770.07 and 4,584.56

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Solution

The fourth proportional to 9,852.26, 14,770.07 and 4,584.56 is: 6,872.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.26 : 14,770.07 = 4,584.56 : x
  2. Step 2: Convert to fraction form
    9,852.26/14,770.07 = 4,584.56/x
  3. Step 3: Cross multiply
    9,852.26x = 14,770.07 × 4,584.56
  4. Step 4: Simplify right side
    9,852.26x = 67,714,209.73
  5. Step 5: Solve for x
    x = 67,714,209.73/9,852.26
  6. Step 6: Final answer
    x = 6,872.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.