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Finding the Fourth Proportional to 9,473.60, 14,211.90 and 3,234.20

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Solution

The fourth proportional to 9,473.60, 14,211.90 and 3,234.20 is: 4,851.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,473.60 : 14,211.90 = 3,234.20 : x
  2. Step 2: Convert to fraction form
    9,473.60/14,211.90 = 3,234.20/x
  3. Step 3: Cross multiply
    9,473.60x = 14,211.90 × 3,234.20
  4. Step 4: Simplify right side
    9,473.60x = 45,964,126.98
  5. Step 5: Solve for x
    x = 45,964,126.98/9,473.60
  6. Step 6: Final answer
    x = 4,851.81

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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.