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Finding the Fourth Proportional to 6,300.95, 9,451.46 and 2,353.10

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Solution

The fourth proportional to 6,300.95, 9,451.46 and 2,353.10 is: 3,529.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,300.95 : 9,451.46 = 2,353.10 : x
  2. Step 2: Convert to fraction form
    6,300.95/9,451.46 = 2,353.10/x
  3. Step 3: Cross multiply
    6,300.95x = 9,451.46 × 2,353.10
  4. Step 4: Simplify right side
    6,300.95x = 22,240,189.15
  5. Step 5: Solve for x
    x = 22,240,189.15/6,300.95
  6. Step 6: Final answer
    x = 3,529.66

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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.