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Finding the Fourth Proportional to 6,346.06, 9,520.12 and 1,962.50

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Solution

The fourth proportional to 6,346.06, 9,520.12 and 1,962.50 is: 2,944.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346.06 : 9,520.12 = 1,962.50 : x
  2. Step 2: Convert to fraction form
    6,346.06/9,520.12 = 1,962.50/x
  3. Step 3: Cross multiply
    6,346.06x = 9,520.12 × 1,962.50
  4. Step 4: Simplify right side
    6,346.06x = 18,683,235.50
  5. Step 5: Solve for x
    x = 18,683,235.50/6,346.06
  6. Step 6: Final answer
    x = 2,944.07

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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.