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Finding the Fourth Proportional to 6,316.83, 9,475.20 and 3,019.95

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Solution

The fourth proportional to 6,316.83, 9,475.20 and 3,019.95 is: 4,529.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,316.83 : 9,475.20 = 3,019.95 : x
  2. Step 2: Convert to fraction form
    6,316.83/9,475.20 = 3,019.95/x
  3. Step 3: Cross multiply
    6,316.83x = 9,475.20 × 3,019.95
  4. Step 4: Simplify right side
    6,316.83x = 28,614,630.24
  5. Step 5: Solve for x
    x = 28,614,630.24/6,316.83
  6. Step 6: Final answer
    x = 4,529.90

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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.