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Finding the Fourth Proportional to 6,394.70, 8,823.14 and 3,600.20

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Solution

The fourth proportional to 6,394.70, 8,823.14 and 3,600.20 is: 4,967.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,394.70 : 8,823.14 = 3,600.20 : x
  2. Step 2: Convert to fraction form
    6,394.70/8,823.14 = 3,600.20/x
  3. Step 3: Cross multiply
    6,394.70x = 8,823.14 × 3,600.20
  4. Step 4: Simplify right side
    6,394.70x = 31,765,068.63
  5. Step 5: Solve for x
    x = 31,765,068.63/6,394.70
  6. Step 6: Final answer
    x = 4,967.41

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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.