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Finding the Fourth Proportional to 9,841.42, 14,704.52 and 9,496.90

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Solution

The fourth proportional to 9,841.42, 14,704.52 and 9,496.90 is: 14,189.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,841.42 : 14,704.52 = 9,496.90 : x
  2. Step 2: Convert to fraction form
    9,841.42/14,704.52 = 9,496.90/x
  3. Step 3: Cross multiply
    9,841.42x = 14,704.52 × 9,496.90
  4. Step 4: Simplify right side
    9,841.42x = 139,647,282.47
  5. Step 5: Solve for x
    x = 139,647,282.47/9,841.42
  6. Step 6: Final answer
    x = 14,189.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.