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Finding the Fourth Proportional to 9,045.78, 13,563.82 and 3,201.64

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Solution

The fourth proportional to 9,045.78, 13,563.82 and 3,201.64 is: 4,800.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,045.78 : 13,563.82 = 3,201.64 : x
  2. Step 2: Convert to fraction form
    9,045.78/13,563.82 = 3,201.64/x
  3. Step 3: Cross multiply
    9,045.78x = 13,563.82 × 3,201.64
  4. Step 4: Simplify right side
    9,045.78x = 43,426,468.66
  5. Step 5: Solve for x
    x = 43,426,468.66/9,045.78
  6. Step 6: Final answer
    x = 4,800.74

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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.