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Finding the Fourth Proportional to 6,420.60, 9,630.90 and 4,206.30

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Solution

The fourth proportional to 6,420.60, 9,630.90 and 4,206.30 is: 6,309.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,420.60 : 9,630.90 = 4,206.30 : x
  2. Step 2: Convert to fraction form
    6,420.60/9,630.90 = 4,206.30/x
  3. Step 3: Cross multiply
    6,420.60x = 9,630.90 × 4,206.30
  4. Step 4: Simplify right side
    6,420.60x = 40,510,454.67
  5. Step 5: Solve for x
    x = 40,510,454.67/6,420.60
  6. Step 6: Final answer
    x = 6,309.45

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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.