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Finding the Fourth Proportional to 9,054.58, 13,583.79 and 2,814.44

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Solution

The fourth proportional to 9,054.58, 13,583.79 and 2,814.44 is: 4,222.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,054.58 : 13,583.79 = 2,814.44 : x
  2. Step 2: Convert to fraction form
    9,054.58/13,583.79 = 2,814.44/x
  3. Step 3: Cross multiply
    9,054.58x = 13,583.79 × 2,814.44
  4. Step 4: Simplify right side
    9,054.58x = 38,230,761.93
  5. Step 5: Solve for x
    x = 38,230,761.93/9,054.58
  6. Step 6: Final answer
    x = 4,222.26

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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.