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Finding the Fourth Proportional to 9,682.36, 14,525.79 and 3,018.53

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Solution

The fourth proportional to 9,682.36, 14,525.79 and 3,018.53 is: 4,528.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.36 : 14,525.79 = 3,018.53 : x
  2. Step 2: Convert to fraction form
    9,682.36/14,525.79 = 3,018.53/x
  3. Step 3: Cross multiply
    9,682.36x = 14,525.79 × 3,018.53
  4. Step 4: Simplify right side
    9,682.36x = 43,846,532.89
  5. Step 5: Solve for x
    x = 43,846,532.89/9,682.36
  6. Step 6: Final answer
    x = 4,528.50

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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.