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Finding the Fourth Proportional to 9,284.58, 13,922.62 and 5,123.22

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Solution

The fourth proportional to 9,284.58, 13,922.62 and 5,123.22 is: 7,682.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284.58 : 13,922.62 = 5,123.22 : x
  2. Step 2: Convert to fraction form
    9,284.58/13,922.62 = 5,123.22/x
  3. Step 3: Cross multiply
    9,284.58x = 13,922.62 × 5,123.22
  4. Step 4: Simplify right side
    9,284.58x = 71,328,645.24
  5. Step 5: Solve for x
    x = 71,328,645.24/9,284.58
  6. Step 6: Final answer
    x = 7,682.48

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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.