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Finding the Fourth Proportional to 9,458.10, 14,121.14 and 8,524.98

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Solution

The fourth proportional to 9,458.10, 14,121.14 and 8,524.98 is: 12,727.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,458.10 : 14,121.14 = 8,524.98 : x
  2. Step 2: Convert to fraction form
    9,458.10/14,121.14 = 8,524.98/x
  3. Step 3: Cross multiply
    9,458.10x = 14,121.14 × 8,524.98
  4. Step 4: Simplify right side
    9,458.10x = 120,382,393.45
  5. Step 5: Solve for x
    x = 120,382,393.45/9,458.10
  6. Step 6: Final answer
    x = 12,727.97

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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.