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Finding the Fourth Proportional to 9,775.55, 14,661.84 and 3,201.59

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Solution

The fourth proportional to 9,775.55, 14,661.84 and 3,201.59 is: 4,801.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.55 : 14,661.84 = 3,201.59 : x
  2. Step 2: Convert to fraction form
    9,775.55/14,661.84 = 3,201.59/x
  3. Step 3: Cross multiply
    9,775.55x = 14,661.84 × 3,201.59
  4. Step 4: Simplify right side
    9,775.55x = 46,941,248.99
  5. Step 5: Solve for x
    x = 46,941,248.99/9,775.55
  6. Step 6: Final answer
    x = 4,801.90

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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.