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Finding the Fourth Proportional to 6,370.84, 8,782.44 and 4,476.73

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Solution

The fourth proportional to 6,370.84, 8,782.44 and 4,476.73 is: 6,171.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,370.84 : 8,782.44 = 4,476.73 : x
  2. Step 2: Convert to fraction form
    6,370.84/8,782.44 = 4,476.73/x
  3. Step 3: Cross multiply
    6,370.84x = 8,782.44 × 4,476.73
  4. Step 4: Simplify right side
    6,370.84x = 39,316,612.62
  5. Step 5: Solve for x
    x = 39,316,612.62/6,370.84
  6. Step 6: Final answer
    x = 6,171.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.