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Finding the Fourth Proportional to 9,946.45, 14,921.39 and 4,949.16

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Solution

The fourth proportional to 9,946.45, 14,921.39 and 4,949.16 is: 7,424.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,946.45 : 14,921.39 = 4,949.16 : x
  2. Step 2: Convert to fraction form
    9,946.45/14,921.39 = 4,949.16/x
  3. Step 3: Cross multiply
    9,946.45x = 14,921.39 × 4,949.16
  4. Step 4: Simplify right side
    9,946.45x = 73,848,346.53
  5. Step 5: Solve for x
    x = 73,848,346.53/9,946.45
  6. Step 6: Final answer
    x = 7,424.59

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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.