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Finding the Fourth Proportional to 6,198.38, 9,289.34 and 4,547.19

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Solution

The fourth proportional to 6,198.38, 9,289.34 and 4,547.19 is: 6,814.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198.38 : 9,289.34 = 4,547.19 : x
  2. Step 2: Convert to fraction form
    6,198.38/9,289.34 = 4,547.19/x
  3. Step 3: Cross multiply
    6,198.38x = 9,289.34 × 4,547.19
  4. Step 4: Simplify right side
    6,198.38x = 42,240,371.22
  5. Step 5: Solve for x
    x = 42,240,371.22/6,198.38
  6. Step 6: Final answer
    x = 6,814.75

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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.