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Finding the Fourth Proportional to 9,276.42, 13,898.43 and 7,726.39

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Solution

The fourth proportional to 9,276.42, 13,898.43 and 7,726.39 is: 11,576.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,276.42 : 13,898.43 = 7,726.39 : x
  2. Step 2: Convert to fraction form
    9,276.42/13,898.43 = 7,726.39/x
  3. Step 3: Cross multiply
    9,276.42x = 13,898.43 × 7,726.39
  4. Step 4: Simplify right side
    9,276.42x = 107,384,690.57
  5. Step 5: Solve for x
    x = 107,384,690.57/9,276.42
  6. Step 6: Final answer
    x = 11,576.09

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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.