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Finding the Fourth Proportional to 9,743.57, 14,515.67 and 9,273.36

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Solution

The fourth proportional to 9,743.57, 14,515.67 and 9,273.36 is: 13,815.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,743.57 : 14,515.67 = 9,273.36 : x
  2. Step 2: Convert to fraction form
    9,743.57/14,515.67 = 9,273.36/x
  3. Step 3: Cross multiply
    9,743.57x = 14,515.67 × 9,273.36
  4. Step 4: Simplify right side
    9,743.57x = 134,609,056.73
  5. Step 5: Solve for x
    x = 134,609,056.73/9,743.57
  6. Step 6: Final answer
    x = 13,815.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.