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Finding the Fourth Proportional to 9,846.70, 14,765.61 and 2,825.11

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Solution

The fourth proportional to 9,846.70, 14,765.61 and 2,825.11 is: 4,236.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846.70 : 14,765.61 = 2,825.11 : x
  2. Step 2: Convert to fraction form
    9,846.70/14,765.61 = 2,825.11/x
  3. Step 3: Cross multiply
    9,846.70x = 14,765.61 × 2,825.11
  4. Step 4: Simplify right side
    9,846.70x = 41,714,472.47
  5. Step 5: Solve for x
    x = 41,714,472.47/9,846.70
  6. Step 6: Final answer
    x = 4,236.39

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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.