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Finding the Fourth Proportional to 9,646.69, 14,469.85 and 3,072.78

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Solution

The fourth proportional to 9,646.69, 14,469.85 and 3,072.78 is: 4,609.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.69 : 14,469.85 = 3,072.78 : x
  2. Step 2: Convert to fraction form
    9,646.69/14,469.85 = 3,072.78/x
  3. Step 3: Cross multiply
    9,646.69x = 14,469.85 × 3,072.78
  4. Step 4: Simplify right side
    9,646.69x = 44,462,658.00
  5. Step 5: Solve for x
    x = 44,462,658.00/9,646.69
  6. Step 6: Final answer
    x = 4,609.11

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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.