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Finding the Fourth Proportional to 7,097.36, 9,794.85 and 3,953.66

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Solution

The fourth proportional to 7,097.36, 9,794.85 and 3,953.66 is: 5,456.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.36 : 9,794.85 = 3,953.66 : x
  2. Step 2: Convert to fraction form
    7,097.36/9,794.85 = 3,953.66/x
  3. Step 3: Cross multiply
    7,097.36x = 9,794.85 × 3,953.66
  4. Step 4: Simplify right side
    7,097.36x = 38,725,506.65
  5. Step 5: Solve for x
    x = 38,725,506.65/7,097.36
  6. Step 6: Final answer
    x = 5,456.33

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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.