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Finding the Fourth Proportional to 6,195.62, 8,547.89 and 3,506.47

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Solution

The fourth proportional to 6,195.62, 8,547.89 and 3,506.47 is: 4,837.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,195.62 : 8,547.89 = 3,506.47 : x
  2. Step 2: Convert to fraction form
    6,195.62/8,547.89 = 3,506.47/x
  3. Step 3: Cross multiply
    6,195.62x = 8,547.89 × 3,506.47
  4. Step 4: Simplify right side
    6,195.62x = 29,972,919.85
  5. Step 5: Solve for x
    x = 29,972,919.85/6,195.62
  6. Step 6: Final answer
    x = 4,837.76

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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.