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Finding the Fourth Proportional to 9,198.86, 13,785.76 and 4,807.22

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Solution

The fourth proportional to 9,198.86, 13,785.76 and 4,807.22 is: 7,204.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.86 : 13,785.76 = 4,807.22 : x
  2. Step 2: Convert to fraction form
    9,198.86/13,785.76 = 4,807.22/x
  3. Step 3: Cross multiply
    9,198.86x = 13,785.76 × 4,807.22
  4. Step 4: Simplify right side
    9,198.86x = 66,271,181.19
  5. Step 5: Solve for x
    x = 66,271,181.19/9,198.86
  6. Step 6: Final answer
    x = 7,204.28

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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.