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Finding the Fourth Proportional to 6,303.49, 9,454.52 and 3,837.65

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Solution

The fourth proportional to 6,303.49, 9,454.52 and 3,837.65 is: 5,756.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,303.49 : 9,454.52 = 3,837.65 : x
  2. Step 2: Convert to fraction form
    6,303.49/9,454.52 = 3,837.65/x
  3. Step 3: Cross multiply
    6,303.49x = 9,454.52 × 3,837.65
  4. Step 4: Simplify right side
    6,303.49x = 36,283,101.00
  5. Step 5: Solve for x
    x = 36,283,101.00/6,303.49
  6. Step 6: Final answer
    x = 5,756.04

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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.