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Finding the Fourth Proportional to 9,628.82, 13,282 and 5,850.08

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Solution

The fourth proportional to 9,628.82, 13,282 and 5,850.08 is: 8,069.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,628.82 : 13,282 = 5,850.08 : x
  2. Step 2: Convert to fraction form
    9,628.82/13,282 = 5,850.08/x
  3. Step 3: Cross multiply
    9,628.82x = 13,282 × 5,850.08
  4. Step 4: Simplify right side
    9,628.82x = 77,700,762.56
  5. Step 5: Solve for x
    x = 77,700,762.56/9,628.82
  6. Step 6: Final answer
    x = 8,069.60

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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.