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Finding the Fourth Proportional to 9,201.20, 12,697.62 and 5,222.08

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Solution

The fourth proportional to 9,201.20, 12,697.62 and 5,222.08 is: 7,206.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.20 : 12,697.62 = 5,222.08 : x
  2. Step 2: Convert to fraction form
    9,201.20/12,697.62 = 5,222.08/x
  3. Step 3: Cross multiply
    9,201.20x = 12,697.62 × 5,222.08
  4. Step 4: Simplify right side
    9,201.20x = 66,307,987.45
  5. Step 5: Solve for x
    x = 66,307,987.45/9,201.20
  6. Step 6: Final answer
    x = 7,206.45

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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.