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Finding the Fourth Proportional to 9,249.71, 12,762.94 and 5,471.00

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Solution

The fourth proportional to 9,249.71, 12,762.94 and 5,471.00 is: 7,548.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,249.71 : 12,762.94 = 5,471.00 : x
  2. Step 2: Convert to fraction form
    9,249.71/12,762.94 = 5,471.00/x
  3. Step 3: Cross multiply
    9,249.71x = 12,762.94 × 5,471.00
  4. Step 4: Simplify right side
    9,249.71x = 69,825,953.57
  5. Step 5: Solve for x
    x = 69,825,953.57/9,249.71
  6. Step 6: Final answer
    x = 7,548.99

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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.