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Finding the Fourth Proportional to 6,420.30, 9,630.45 and 4,692.30

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Solution

The fourth proportional to 6,420.30, 9,630.45 and 4,692.30 is: 7,038.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,420.30 : 9,630.45 = 4,692.30 : x
  2. Step 2: Convert to fraction form
    6,420.30/9,630.45 = 4,692.30/x
  3. Step 3: Cross multiply
    6,420.30x = 9,630.45 × 4,692.30
  4. Step 4: Simplify right side
    6,420.30x = 45,188,960.54
  5. Step 5: Solve for x
    x = 45,188,960.54/6,420.30
  6. Step 6: Final answer
    x = 7,038.45

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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.