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Finding the Fourth Proportional to 7,769.40, 11,682.90 and 6,502.20

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Solution

The fourth proportional to 7,769.40, 11,682.90 and 6,502.20 is: 9,777.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.40 : 11,682.90 = 6,502.20 : x
  2. Step 2: Convert to fraction form
    7,769.40/11,682.90 = 6,502.20/x
  3. Step 3: Cross multiply
    7,769.40x = 11,682.90 × 6,502.20
  4. Step 4: Simplify right side
    7,769.40x = 75,964,552.38
  5. Step 5: Solve for x
    x = 75,964,552.38/7,769.40
  6. Step 6: Final answer
    x = 9,777.40

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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.