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Finding the Fourth Proportional to 6,409.01, 8,768.69 and 6,384.71

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Solution

The fourth proportional to 6,409.01, 8,768.69 and 6,384.71 is: 8,735.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.01 : 8,768.69 = 6,384.71 : x
  2. Step 2: Convert to fraction form
    6,409.01/8,768.69 = 6,384.71/x
  3. Step 3: Cross multiply
    6,409.01x = 8,768.69 × 6,384.71
  4. Step 4: Simplify right side
    6,409.01x = 55,985,466.96
  5. Step 5: Solve for x
    x = 55,985,466.96/6,409.01
  6. Step 6: Final answer
    x = 8,735.44

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.