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Finding the Fourth Proportional to 9,475.46, 14,211.87 and 3,235.46

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Solution

The fourth proportional to 9,475.46, 14,211.87 and 3,235.46 is: 4,852.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,475.46 : 14,211.87 = 3,235.46 : x
  2. Step 2: Convert to fraction form
    9,475.46/14,211.87 = 3,235.46/x
  3. Step 3: Cross multiply
    9,475.46x = 14,211.87 × 3,235.46
  4. Step 4: Simplify right side
    9,475.46x = 45,981,936.91
  5. Step 5: Solve for x
    x = 45,981,936.91/9,475.46
  6. Step 6: Final answer
    x = 4,852.74

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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.