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Finding the Fourth Proportional to 9,499.47, 14,244.87 and 3,949.50

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Solution

The fourth proportional to 9,499.47, 14,244.87 and 3,949.50 is: 5,922.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,499.47 : 14,244.87 = 3,949.50 : x
  2. Step 2: Convert to fraction form
    9,499.47/14,244.87 = 3,949.50/x
  3. Step 3: Cross multiply
    9,499.47x = 14,244.87 × 3,949.50
  4. Step 4: Simplify right side
    9,499.47x = 56,260,114.07
  5. Step 5: Solve for x
    x = 56,260,114.07/9,499.47
  6. Step 6: Final answer
    x = 5,922.45

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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.