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Finding the Fourth Proportional to 7,133.44, 9,844.43 and 3,946.68

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Solution

The fourth proportional to 7,133.44, 9,844.43 and 3,946.68 is: 5,446.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,133.44 : 9,844.43 = 3,946.68 : x
  2. Step 2: Convert to fraction form
    7,133.44/9,844.43 = 3,946.68/x
  3. Step 3: Cross multiply
    7,133.44x = 9,844.43 × 3,946.68
  4. Step 4: Simplify right side
    7,133.44x = 38,852,765.77
  5. Step 5: Solve for x
    x = 38,852,765.77/7,133.44
  6. Step 6: Final answer
    x = 5,446.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.