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Finding the Fourth Proportional to 9,680.85, 13,359.87 and 6,853.28

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Solution

The fourth proportional to 9,680.85, 13,359.87 and 6,853.28 is: 9,457.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,680.85 : 13,359.87 = 6,853.28 : x
  2. Step 2: Convert to fraction form
    9,680.85/13,359.87 = 6,853.28/x
  3. Step 3: Cross multiply
    9,680.85x = 13,359.87 × 6,853.28
  4. Step 4: Simplify right side
    9,680.85x = 91,558,863.07
  5. Step 5: Solve for x
    x = 91,558,863.07/9,680.85
  6. Step 6: Final answer
    x = 9,457.73

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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.