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Finding the Fourth Proportional to 9,411.81, 14,120.79 and 6,777.16

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Solution

The fourth proportional to 9,411.81, 14,120.79 and 6,777.16 is: 10,167.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,411.81 : 14,120.79 = 6,777.16 : x
  2. Step 2: Convert to fraction form
    9,411.81/14,120.79 = 6,777.16/x
  3. Step 3: Cross multiply
    9,411.81x = 14,120.79 × 6,777.16
  4. Step 4: Simplify right side
    9,411.81x = 95,698,817.85
  5. Step 5: Solve for x
    x = 95,698,817.85/9,411.81
  6. Step 6: Final answer
    x = 10,167.95

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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.