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Finding the Fourth Proportional to 6,254.69, 9,384.12 and 2,095.11

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Solution

The fourth proportional to 6,254.69, 9,384.12 and 2,095.11 is: 3,143.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,254.69 : 9,384.12 = 2,095.11 : x
  2. Step 2: Convert to fraction form
    6,254.69/9,384.12 = 2,095.11/x
  3. Step 3: Cross multiply
    6,254.69x = 9,384.12 × 2,095.11
  4. Step 4: Simplify right side
    6,254.69x = 19,660,763.65
  5. Step 5: Solve for x
    x = 19,660,763.65/6,254.69
  6. Step 6: Final answer
    x = 3,143.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.