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Finding the Fourth Proportional to 9,817.58, 14,724.27 and 3,242.21

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Solution

The fourth proportional to 9,817.58, 14,724.27 and 3,242.21 is: 4,862.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,817.58 : 14,724.27 = 3,242.21 : x
  2. Step 2: Convert to fraction form
    9,817.58/14,724.27 = 3,242.21/x
  3. Step 3: Cross multiply
    9,817.58x = 14,724.27 × 3,242.21
  4. Step 4: Simplify right side
    9,817.58x = 47,739,175.44
  5. Step 5: Solve for x
    x = 47,739,175.44/9,817.58
  6. Step 6: Final answer
    x = 4,862.62

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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.