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Finding the Fourth Proportional to 9,754.04, 14,632.50 and 2,827.64

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Solution

The fourth proportional to 9,754.04, 14,632.50 and 2,827.64 is: 4,241.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.04 : 14,632.50 = 2,827.64 : x
  2. Step 2: Convert to fraction form
    9,754.04/14,632.50 = 2,827.64/x
  3. Step 3: Cross multiply
    9,754.04x = 14,632.50 × 2,827.64
  4. Step 4: Simplify right side
    9,754.04x = 41,375,442.30
  5. Step 5: Solve for x
    x = 41,375,442.30/9,754.04
  6. Step 6: Final answer
    x = 4,241.88

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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.