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Finding the Fourth Proportional to 7,122.69, 9,828.72 and 4,097.66

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Solution

The fourth proportional to 7,122.69, 9,828.72 and 4,097.66 is: 5,654.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.69 : 9,828.72 = 4,097.66 : x
  2. Step 2: Convert to fraction form
    7,122.69/9,828.72 = 4,097.66/x
  3. Step 3: Cross multiply
    7,122.69x = 9,828.72 × 4,097.66
  4. Step 4: Simplify right side
    7,122.69x = 40,274,703.65
  5. Step 5: Solve for x
    x = 40,274,703.65/7,122.69
  6. Step 6: Final answer
    x = 5,654.42

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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.