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Finding the Fourth Proportional to 7,196.14, 9,930.62 and 4,009.57

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Solution

The fourth proportional to 7,196.14, 9,930.62 and 4,009.57 is: 5,533.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,196.14 : 9,930.62 = 4,009.57 : x
  2. Step 2: Convert to fraction form
    7,196.14/9,930.62 = 4,009.57/x
  3. Step 3: Cross multiply
    7,196.14x = 9,930.62 × 4,009.57
  4. Step 4: Simplify right side
    7,196.14x = 39,817,516.03
  5. Step 5: Solve for x
    x = 39,817,516.03/7,196.14
  6. Step 6: Final answer
    x = 5,533.18

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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.