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Finding the Fourth Proportional to 6,420.63, 9,630.83 and 2,038.10

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Solution

The fourth proportional to 6,420.63, 9,630.83 and 2,038.10 is: 3,057.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,420.63 : 9,630.83 = 2,038.10 : x
  2. Step 2: Convert to fraction form
    6,420.63/9,630.83 = 2,038.10/x
  3. Step 3: Cross multiply
    6,420.63x = 9,630.83 × 2,038.10
  4. Step 4: Simplify right side
    6,420.63x = 19,628,551.56
  5. Step 5: Solve for x
    x = 19,628,551.56/6,420.63
  6. Step 6: Final answer
    x = 3,057.11

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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.