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Finding the Fourth Proportional to 9,023.04, 12,450.31 and 8,297.23

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Solution

The fourth proportional to 9,023.04, 12,450.31 and 8,297.23 is: 11,448.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,023.04 : 12,450.31 = 8,297.23 : x
  2. Step 2: Convert to fraction form
    9,023.04/12,450.31 = 8,297.23/x
  3. Step 3: Cross multiply
    9,023.04x = 12,450.31 × 8,297.23
  4. Step 4: Simplify right side
    9,023.04x = 103,303,085.64
  5. Step 5: Solve for x
    x = 103,303,085.64/9,023.04
  6. Step 6: Final answer
    x = 11,448.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.