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Finding the Fourth Proportional to 9,607.47, 14,408.09 and 3,684.05

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Solution

The fourth proportional to 9,607.47, 14,408.09 and 3,684.05 is: 5,524.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,607.47 : 14,408.09 = 3,684.05 : x
  2. Step 2: Convert to fraction form
    9,607.47/14,408.09 = 3,684.05/x
  3. Step 3: Cross multiply
    9,607.47x = 14,408.09 × 3,684.05
  4. Step 4: Simplify right side
    9,607.47x = 53,080,033.50
  5. Step 5: Solve for x
    x = 53,080,033.50/9,607.47
  6. Step 6: Final answer
    x = 5,524.87

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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.