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Finding the Fourth Proportional to 6,311.62, 9,459.87 and 4,459.96

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Solution

The fourth proportional to 6,311.62, 9,459.87 and 4,459.96 is: 6,684.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.62 : 9,459.87 = 4,459.96 : x
  2. Step 2: Convert to fraction form
    6,311.62/9,459.87 = 4,459.96/x
  3. Step 3: Cross multiply
    6,311.62x = 9,459.87 × 4,459.96
  4. Step 4: Simplify right side
    6,311.62x = 42,190,641.81
  5. Step 5: Solve for x
    x = 42,190,641.81/6,311.62
  6. Step 6: Final answer
    x = 6,684.60

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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.