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Finding the Fourth Proportional to 9,228.42, 13,842.23 and 4,296.33

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Solution

The fourth proportional to 9,228.42, 13,842.23 and 4,296.33 is: 6,444.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,228.42 : 13,842.23 = 4,296.33 : x
  2. Step 2: Convert to fraction form
    9,228.42/13,842.23 = 4,296.33/x
  3. Step 3: Cross multiply
    9,228.42x = 13,842.23 × 4,296.33
  4. Step 4: Simplify right side
    9,228.42x = 59,470,766.53
  5. Step 5: Solve for x
    x = 59,470,766.53/9,228.42
  6. Step 6: Final answer
    x = 6,444.31

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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.