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Finding the Fourth Proportional to 9,630.80, 14,446.20 and 4,697.90

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Solution

The fourth proportional to 9,630.80, 14,446.20 and 4,697.90 is: 7,046.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,630.80 : 14,446.20 = 4,697.90 : x
  2. Step 2: Convert to fraction form
    9,630.80/14,446.20 = 4,697.90/x
  3. Step 3: Cross multiply
    9,630.80x = 14,446.20 × 4,697.90
  4. Step 4: Simplify right side
    9,630.80x = 67,866,802.98
  5. Step 5: Solve for x
    x = 67,866,802.98/9,630.80
  6. Step 6: Final answer
    x = 7,046.85

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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.