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Finding the Fourth Proportional to 9,817.62, 14,723.31 and 3,242.58

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Solution

The fourth proportional to 9,817.62, 14,723.31 and 3,242.58 is: 4,862.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,817.62 : 14,723.31 = 3,242.58 : x
  2. Step 2: Convert to fraction form
    9,817.62/14,723.31 = 3,242.58/x
  3. Step 3: Cross multiply
    9,817.62x = 14,723.31 × 3,242.58
  4. Step 4: Simplify right side
    9,817.62x = 47,741,510.54
  5. Step 5: Solve for x
    x = 47,741,510.54/9,817.62
  6. Step 6: Final answer
    x = 4,862.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.