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Finding the Fourth Proportional to 6,385.18, 9,577.95 and 2,002.90

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Solution

The fourth proportional to 6,385.18, 9,577.95 and 2,002.90 is: 3,004.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,385.18 : 9,577.95 = 2,002.90 : x
  2. Step 2: Convert to fraction form
    6,385.18/9,577.95 = 2,002.90/x
  3. Step 3: Cross multiply
    6,385.18x = 9,577.95 × 2,002.90
  4. Step 4: Simplify right side
    6,385.18x = 19,183,676.06
  5. Step 5: Solve for x
    x = 19,183,676.06/6,385.18
  6. Step 6: Final answer
    x = 3,004.41

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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.