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Finding the Fourth Proportional to 9,829.54, 13,562.65 and 5,849.87

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Solution

The fourth proportional to 9,829.54, 13,562.65 and 5,849.87 is: 8,071.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829.54 : 13,562.65 = 5,849.87 : x
  2. Step 2: Convert to fraction form
    9,829.54/13,562.65 = 5,849.87/x
  3. Step 3: Cross multiply
    9,829.54x = 13,562.65 × 5,849.87
  4. Step 4: Simplify right side
    9,829.54x = 79,339,739.36
  5. Step 5: Solve for x
    x = 79,339,739.36/9,829.54
  6. Step 6: Final answer
    x = 8,071.56

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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.