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Finding the Fourth Proportional to 9,638.88, 14,458.16 and 3,063.84

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Solution

The fourth proportional to 9,638.88, 14,458.16 and 3,063.84 is: 4,595.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638.88 : 14,458.16 = 3,063.84 : x
  2. Step 2: Convert to fraction form
    9,638.88/14,458.16 = 3,063.84/x
  3. Step 3: Cross multiply
    9,638.88x = 14,458.16 × 3,063.84
  4. Step 4: Simplify right side
    9,638.88x = 44,297,488.93
  5. Step 5: Solve for x
    x = 44,297,488.93/9,638.88
  6. Step 6: Final answer
    x = 4,595.71

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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.