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Finding the Fourth Proportional to 6,299.16, 9,434.37 and 3,014.57

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Solution

The fourth proportional to 6,299.16, 9,434.37 and 3,014.57 is: 4,514.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.16 : 9,434.37 = 3,014.57 : x
  2. Step 2: Convert to fraction form
    6,299.16/9,434.37 = 3,014.57/x
  3. Step 3: Cross multiply
    6,299.16x = 9,434.37 × 3,014.57
  4. Step 4: Simplify right side
    6,299.16x = 28,440,568.77
  5. Step 5: Solve for x
    x = 28,440,568.77/6,299.16
  6. Step 6: Final answer
    x = 4,514.98

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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.