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Finding the Fourth Proportional to 9,607.37, 14,401.16 and 3,682.64

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Solution

The fourth proportional to 9,607.37, 14,401.16 and 3,682.64 is: 5,520.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,607.37 : 14,401.16 = 3,682.64 : x
  2. Step 2: Convert to fraction form
    9,607.37/14,401.16 = 3,682.64/x
  3. Step 3: Cross multiply
    9,607.37x = 14,401.16 × 3,682.64
  4. Step 4: Simplify right side
    9,607.37x = 53,034,197.44
  5. Step 5: Solve for x
    x = 53,034,197.44/9,607.37
  6. Step 6: Final answer
    x = 5,520.16

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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.