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Finding the Fourth Proportional to 7,092.80, 9,788.06 and 4,109.21

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Solution

The fourth proportional to 7,092.80, 9,788.06 and 4,109.21 is: 5,670.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,092.80 : 9,788.06 = 4,109.21 : x
  2. Step 2: Convert to fraction form
    7,092.80/9,788.06 = 4,109.21/x
  3. Step 3: Cross multiply
    7,092.80x = 9,788.06 × 4,109.21
  4. Step 4: Simplify right side
    7,092.80x = 40,221,216.05
  5. Step 5: Solve for x
    x = 40,221,216.05/7,092.80
  6. Step 6: Final answer
    x = 5,670.71

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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.