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Finding the Fourth Proportional to 6,429.80, 9,644.70 and 4,680.20

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Solution

The fourth proportional to 6,429.80, 9,644.70 and 4,680.20 is: 7,020.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.80 : 9,644.70 = 4,680.20 : x
  2. Step 2: Convert to fraction form
    6,429.80/9,644.70 = 4,680.20/x
  3. Step 3: Cross multiply
    6,429.80x = 9,644.70 × 4,680.20
  4. Step 4: Simplify right side
    6,429.80x = 45,139,124.94
  5. Step 5: Solve for x
    x = 45,139,124.94/6,429.80
  6. Step 6: Final answer
    x = 7,020.30

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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.