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Finding the Fourth Proportional to 9,450.78, 13,041.54 and 5,201.12

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Solution

The fourth proportional to 9,450.78, 13,041.54 and 5,201.12 is: 7,177.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,450.78 : 13,041.54 = 5,201.12 : x
  2. Step 2: Convert to fraction form
    9,450.78/13,041.54 = 5,201.12/x
  3. Step 3: Cross multiply
    9,450.78x = 13,041.54 × 5,201.12
  4. Step 4: Simplify right side
    9,450.78x = 67,830,614.52
  5. Step 5: Solve for x
    x = 67,830,614.52/9,450.78
  6. Step 6: Final answer
    x = 7,177.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.