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Finding the Fourth Proportional to 6,303.53, 9,444.87 and 3,830.85

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Solution

The fourth proportional to 6,303.53, 9,444.87 and 3,830.85 is: 5,739.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,303.53 : 9,444.87 = 3,830.85 : x
  2. Step 2: Convert to fraction form
    6,303.53/9,444.87 = 3,830.85/x
  3. Step 3: Cross multiply
    6,303.53x = 9,444.87 × 3,830.85
  4. Step 4: Simplify right side
    6,303.53x = 36,181,880.24
  5. Step 5: Solve for x
    x = 36,181,880.24/6,303.53
  6. Step 6: Final answer
    x = 5,739.94

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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.