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Finding the Fourth Proportional to 9,757.82, 13,465.83 and 5,281.57

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Solution

The fourth proportional to 9,757.82, 13,465.83 and 5,281.57 is: 7,288.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.82 : 13,465.83 = 5,281.57 : x
  2. Step 2: Convert to fraction form
    9,757.82/13,465.83 = 5,281.57/x
  3. Step 3: Cross multiply
    9,757.82x = 13,465.83 × 5,281.57
  4. Step 4: Simplify right side
    9,757.82x = 71,120,697.35
  5. Step 5: Solve for x
    x = 71,120,697.35/9,757.82
  6. Step 6: Final answer
    x = 7,288.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.