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Finding the Fourth Proportional to 7,112.34, 9,815.04 and 3,968.54

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Solution

The fourth proportional to 7,112.34, 9,815.04 and 3,968.54 is: 5,476.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,112.34 : 9,815.04 = 3,968.54 : x
  2. Step 2: Convert to fraction form
    7,112.34/9,815.04 = 3,968.54/x
  3. Step 3: Cross multiply
    7,112.34x = 9,815.04 × 3,968.54
  4. Step 4: Simplify right side
    7,112.34x = 38,951,329.77
  5. Step 5: Solve for x
    x = 38,951,329.77/7,112.34
  6. Step 6: Final answer
    x = 5,476.58

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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.