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Finding the Fourth Proportional to 9,984.83, 13,769.22 and 7,745.89

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Solution

The fourth proportional to 9,984.83, 13,769.22 and 7,745.89 is: 10,681.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984.83 : 13,769.22 = 7,745.89 : x
  2. Step 2: Convert to fraction form
    9,984.83/13,769.22 = 7,745.89/x
  3. Step 3: Cross multiply
    9,984.83x = 13,769.22 × 7,745.89
  4. Step 4: Simplify right side
    9,984.83x = 106,654,829.08
  5. Step 5: Solve for x
    x = 106,654,829.08/9,984.83
  6. Step 6: Final answer
    x = 10,681.69

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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.