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Finding the Fourth Proportional to 9,763.25, 13,473.20 and 5,286.98

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Solution

The fourth proportional to 9,763.25, 13,473.20 and 5,286.98 is: 7,295.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.25 : 13,473.20 = 5,286.98 : x
  2. Step 2: Convert to fraction form
    9,763.25/13,473.20 = 5,286.98/x
  3. Step 3: Cross multiply
    9,763.25x = 13,473.20 × 5,286.98
  4. Step 4: Simplify right side
    9,763.25x = 71,232,585.84
  5. Step 5: Solve for x
    x = 71,232,585.84/9,763.25
  6. Step 6: Final answer
    x = 7,295.99

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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.