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Finding the Fourth Proportional to 8,933.64, 12,328.44 and 5,396.20

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Solution

The fourth proportional to 8,933.64, 12,328.44 and 5,396.20 is: 7,446.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,933.64 : 12,328.44 = 5,396.20 : x
  2. Step 2: Convert to fraction form
    8,933.64/12,328.44 = 5,396.20/x
  3. Step 3: Cross multiply
    8,933.64x = 12,328.44 × 5,396.20
  4. Step 4: Simplify right side
    8,933.64x = 66,526,727.93
  5. Step 5: Solve for x
    x = 66,526,727.93/8,933.64
  6. Step 6: Final answer
    x = 7,446.77

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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.