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Finding the Fourth Proportional to 9,651.98, 14,470.25 and 6,340.84

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Solution

The fourth proportional to 9,651.98, 14,470.25 and 6,340.84 is: 9,506.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,651.98 : 14,470.25 = 6,340.84 : x
  2. Step 2: Convert to fraction form
    9,651.98/14,470.25 = 6,340.84/x
  3. Step 3: Cross multiply
    9,651.98x = 14,470.25 × 6,340.84
  4. Step 4: Simplify right side
    9,651.98x = 91,753,472.13
  5. Step 5: Solve for x
    x = 91,753,472.13/9,651.98
  6. Step 6: Final answer
    x = 9,506.18

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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.