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Finding the Fourth Proportional to 9,680.75, 13,357.39 and 6,328.49

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Solution

The fourth proportional to 9,680.75, 13,357.39 and 6,328.49 is: 8,731.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,680.75 : 13,357.39 = 6,328.49 : x
  2. Step 2: Convert to fraction form
    9,680.75/13,357.39 = 6,328.49/x
  3. Step 3: Cross multiply
    9,680.75x = 13,357.39 × 6,328.49
  4. Step 4: Simplify right side
    9,680.75x = 84,532,126.61
  5. Step 5: Solve for x
    x = 84,532,126.61/9,680.75
  6. Step 6: Final answer
    x = 8,731.99

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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.