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Finding the Fourth Proportional to 9,736.81, 13,436.80 and 5,260.55

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Solution

The fourth proportional to 9,736.81, 13,436.80 and 5,260.55 is: 7,259.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,736.81 : 13,436.80 = 5,260.55 : x
  2. Step 2: Convert to fraction form
    9,736.81/13,436.80 = 5,260.55/x
  3. Step 3: Cross multiply
    9,736.81x = 13,436.80 × 5,260.55
  4. Step 4: Simplify right side
    9,736.81x = 70,684,975.04
  5. Step 5: Solve for x
    x = 70,684,975.04/9,736.81
  6. Step 6: Final answer
    x = 7,259.56

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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.