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Finding the Fourth Proportional to 9,168.96, 13,753.44 and 3,323.16

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Solution

The fourth proportional to 9,168.96, 13,753.44 and 3,323.16 is: 4,984.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,168.96 : 13,753.44 = 3,323.16 : x
  2. Step 2: Convert to fraction form
    9,168.96/13,753.44 = 3,323.16/x
  3. Step 3: Cross multiply
    9,168.96x = 13,753.44 × 3,323.16
  4. Step 4: Simplify right side
    9,168.96x = 45,704,881.67
  5. Step 5: Solve for x
    x = 45,704,881.67/9,168.96
  6. Step 6: Final answer
    x = 4,984.74

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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.