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Finding the Fourth Proportional to 9,727.49, 13,422.93 and 5,477.87

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Solution

The fourth proportional to 9,727.49, 13,422.93 and 5,477.87 is: 7,558.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,727.49 : 13,422.93 = 5,477.87 : x
  2. Step 2: Convert to fraction form
    9,727.49/13,422.93 = 5,477.87/x
  3. Step 3: Cross multiply
    9,727.49x = 13,422.93 × 5,477.87
  4. Step 4: Simplify right side
    9,727.49x = 73,529,065.56
  5. Step 5: Solve for x
    x = 73,529,065.56/9,727.49
  6. Step 6: Final answer
    x = 7,558.90

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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.