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Finding the Fourth Proportional to 9,829.56, 13,562.73 and 6,245.58

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Solution

The fourth proportional to 9,829.56, 13,562.73 and 6,245.58 is: 8,617.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829.56 : 13,562.73 = 6,245.58 : x
  2. Step 2: Convert to fraction form
    9,829.56/13,562.73 = 6,245.58/x
  3. Step 3: Cross multiply
    9,829.56x = 13,562.73 × 6,245.58
  4. Step 4: Simplify right side
    9,829.56x = 84,707,115.23
  5. Step 5: Solve for x
    x = 84,707,115.23/9,829.56
  6. Step 6: Final answer
    x = 8,617.59

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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.