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Finding the Fourth Proportional to 9,704.15, 14,556.23 and 4,153.89

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Solution

The fourth proportional to 9,704.15, 14,556.23 and 4,153.89 is: 6,230.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.15 : 14,556.23 = 4,153.89 : x
  2. Step 2: Convert to fraction form
    9,704.15/14,556.23 = 4,153.89/x
  3. Step 3: Cross multiply
    9,704.15x = 14,556.23 × 4,153.89
  4. Step 4: Simplify right side
    9,704.15x = 60,464,957.47
  5. Step 5: Solve for x
    x = 60,464,957.47/9,704.15
  6. Step 6: Final answer
    x = 6,230.84

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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.