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Finding the Fourth Proportional to 6,415.73, 9,626.64 and 4,444.39

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Solution

The fourth proportional to 6,415.73, 9,626.64 and 4,444.39 is: 6,668.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.73 : 9,626.64 = 4,444.39 : x
  2. Step 2: Convert to fraction form
    6,415.73/9,626.64 = 4,444.39/x
  3. Step 3: Cross multiply
    6,415.73x = 9,626.64 × 4,444.39
  4. Step 4: Simplify right side
    6,415.73x = 42,784,542.55
  5. Step 5: Solve for x
    x = 42,784,542.55/6,415.73
  6. Step 6: Final answer
    x = 6,668.69

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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.