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Finding the Fourth Proportional to 9,789.63, 14,757.81 and 9,137.90

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Solution

The fourth proportional to 9,789.63, 14,757.81 and 9,137.90 is: 13,775.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,789.63 : 14,757.81 = 9,137.90 : x
  2. Step 2: Convert to fraction form
    9,789.63/14,757.81 = 9,137.90/x
  3. Step 3: Cross multiply
    9,789.63x = 14,757.81 × 9,137.90
  4. Step 4: Simplify right side
    9,789.63x = 134,855,272.52
  5. Step 5: Solve for x
    x = 134,855,272.52/9,789.63
  6. Step 6: Final answer
    x = 13,775.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.