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Finding the Fourth Proportional to 6,305.50, 9,459.60 and 2,145.88

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Solution

The fourth proportional to 6,305.50, 9,459.60 and 2,145.88 is: 3,219.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305.50 : 9,459.60 = 2,145.88 : x
  2. Step 2: Convert to fraction form
    6,305.50/9,459.60 = 2,145.88/x
  3. Step 3: Cross multiply
    6,305.50x = 9,459.60 × 2,145.88
  4. Step 4: Simplify right side
    6,305.50x = 20,299,166.45
  5. Step 5: Solve for x
    x = 20,299,166.45/6,305.50
  6. Step 6: Final answer
    x = 3,219.28

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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.