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Finding the Fourth Proportional to 9,628.84, 13,282.88 and 6,277.26

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Solution

The fourth proportional to 9,628.84, 13,282.88 and 6,277.26 is: 8,659.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,628.84 : 13,282.88 = 6,277.26 : x
  2. Step 2: Convert to fraction form
    9,628.84/13,282.88 = 6,277.26/x
  3. Step 3: Cross multiply
    9,628.84x = 13,282.88 × 6,277.26
  4. Step 4: Simplify right side
    9,628.84x = 83,380,091.31
  5. Step 5: Solve for x
    x = 83,380,091.31/9,628.84
  6. Step 6: Final answer
    x = 8,659.41

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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.