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Finding the Fourth Proportional to 9,760.02, 14,654.61 and 9,614.22

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Solution

The fourth proportional to 9,760.02, 14,654.61 and 9,614.22 is: 14,435.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.02 : 14,654.61 = 9,614.22 : x
  2. Step 2: Convert to fraction form
    9,760.02/14,654.61 = 9,614.22/x
  3. Step 3: Cross multiply
    9,760.02x = 14,654.61 × 9,614.22
  4. Step 4: Simplify right side
    9,760.02x = 140,892,644.55
  5. Step 5: Solve for x
    x = 140,892,644.55/9,760.02
  6. Step 6: Final answer
    x = 14,435.69

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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.