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Finding the Fourth Proportional to 6,405.05, 9,611.22 and 5,114.72

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Solution

The fourth proportional to 6,405.05, 9,611.22 and 5,114.72 is: 7,674.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405.05 : 9,611.22 = 5,114.72 : x
  2. Step 2: Convert to fraction form
    6,405.05/9,611.22 = 5,114.72/x
  3. Step 3: Cross multiply
    6,405.05x = 9,611.22 × 5,114.72
  4. Step 4: Simplify right side
    6,405.05x = 49,158,693.76
  5. Step 5: Solve for x
    x = 49,158,693.76/6,405.05
  6. Step 6: Final answer
    x = 7,674.99

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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.