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Finding the Fourth Proportional to 9,596.28, 14,387.70 and 6,680.28

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Solution

The fourth proportional to 9,596.28, 14,387.70 and 6,680.28 is: 10,015.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.28 : 14,387.70 = 6,680.28 : x
  2. Step 2: Convert to fraction form
    9,596.28/14,387.70 = 6,680.28/x
  3. Step 3: Cross multiply
    9,596.28x = 14,387.70 × 6,680.28
  4. Step 4: Simplify right side
    9,596.28x = 96,113,864.56
  5. Step 5: Solve for x
    x = 96,113,864.56/9,596.28
  6. Step 6: Final answer
    x = 10,015.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.