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Finding the Fourth Proportional to 7,073.83, 9,760.80 and 4,089.09

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Solution

The fourth proportional to 7,073.83, 9,760.80 and 4,089.09 is: 5,642.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,073.83 : 9,760.80 = 4,089.09 : x
  2. Step 2: Convert to fraction form
    7,073.83/9,760.80 = 4,089.09/x
  3. Step 3: Cross multiply
    7,073.83x = 9,760.80 × 4,089.09
  4. Step 4: Simplify right side
    7,073.83x = 39,912,789.67
  5. Step 5: Solve for x
    x = 39,912,789.67/7,073.83
  6. Step 6: Final answer
    x = 5,642.32

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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.