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Finding the Fourth Proportional to 6,262.12, 9,395.82 and 3,145

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Solution

The fourth proportional to 6,262.12, 9,395.82 and 3,145 is: 4,718.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,262.12 : 9,395.82 = 3,145 : x
  2. Step 2: Convert to fraction form
    6,262.12/9,395.82 = 3,145/x
  3. Step 3: Cross multiply
    6,262.12x = 9,395.82 × 3,145
  4. Step 4: Simplify right side
    6,262.12x = 29,549,853.90
  5. Step 5: Solve for x
    x = 29,549,853.90/6,262.12
  6. Step 6: Final answer
    x = 4,718.83

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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.