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Finding the Fourth Proportional to 9,775.26, 14,666.00 and 3,199.95

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Solution

The fourth proportional to 9,775.26, 14,666.00 and 3,199.95 is: 4,800.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.26 : 14,666.00 = 3,199.95 : x
  2. Step 2: Convert to fraction form
    9,775.26/14,666.00 = 3,199.95/x
  3. Step 3: Cross multiply
    9,775.26x = 14,666.00 × 3,199.95
  4. Step 4: Simplify right side
    9,775.26x = 46,930,450.70
  5. Step 5: Solve for x
    x = 46,930,450.70/9,775.26
  6. Step 6: Final answer
    x = 4,800.94

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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.