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Finding the Fourth Proportional to 9,763.47, 14,644.87 and 2,743.54

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Solution

The fourth proportional to 9,763.47, 14,644.87 and 2,743.54 is: 4,115.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.47 : 14,644.87 = 2,743.54 : x
  2. Step 2: Convert to fraction form
    9,763.47/14,644.87 = 2,743.54/x
  3. Step 3: Cross multiply
    9,763.47x = 14,644.87 × 2,743.54
  4. Step 4: Simplify right side
    9,763.47x = 40,178,743.17
  5. Step 5: Solve for x
    x = 40,178,743.17/9,763.47
  6. Step 6: Final answer
    x = 4,115.21

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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.