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Finding the Fourth Proportional to 9,846.82, 14,765.91 and 3,686.50

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Solution

The fourth proportional to 9,846.82, 14,765.91 and 3,686.50 is: 5,528.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846.82 : 14,765.91 = 3,686.50 : x
  2. Step 2: Convert to fraction form
    9,846.82/14,765.91 = 3,686.50/x
  3. Step 3: Cross multiply
    9,846.82x = 14,765.91 × 3,686.50
  4. Step 4: Simplify right side
    9,846.82x = 54,434,527.22
  5. Step 5: Solve for x
    x = 54,434,527.22/9,846.82
  6. Step 6: Final answer
    x = 5,528.13

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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.