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Finding the Fourth Proportional to 6,415.05, 9,605.21 and 3,330.57

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Solution

The fourth proportional to 6,415.05, 9,605.21 and 3,330.57 is: 4,986.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.05 : 9,605.21 = 3,330.57 : x
  2. Step 2: Convert to fraction form
    6,415.05/9,605.21 = 3,330.57/x
  3. Step 3: Cross multiply
    6,415.05x = 9,605.21 × 3,330.57
  4. Step 4: Simplify right side
    6,415.05x = 31,990,807.62
  5. Step 5: Solve for x
    x = 31,990,807.62/6,415.05
  6. Step 6: Final answer
    x = 4,986.84

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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.