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Finding the Fourth Proportional to 9,861.44, 14,792.30 and 3,287.63

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Solution

The fourth proportional to 9,861.44, 14,792.30 and 3,287.63 is: 4,931.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,861.44 : 14,792.30 = 3,287.63 : x
  2. Step 2: Convert to fraction form
    9,861.44/14,792.30 = 3,287.63/x
  3. Step 3: Cross multiply
    9,861.44x = 14,792.30 × 3,287.63
  4. Step 4: Simplify right side
    9,861.44x = 48,631,518.85
  5. Step 5: Solve for x
    x = 48,631,518.85/9,861.44
  6. Step 6: Final answer
    x = 4,931.49

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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.