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Finding the Fourth Proportional to 9,739.44, 13,426.36 and 7,497.77

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Solution

The fourth proportional to 9,739.44, 13,426.36 and 7,497.77 is: 10,336.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,739.44 : 13,426.36 = 7,497.77 : x
  2. Step 2: Convert to fraction form
    9,739.44/13,426.36 = 7,497.77/x
  3. Step 3: Cross multiply
    9,739.44x = 13,426.36 × 7,497.77
  4. Step 4: Simplify right side
    9,739.44x = 100,667,673.34
  5. Step 5: Solve for x
    x = 100,667,673.34/9,739.44
  6. Step 6: Final answer
    x = 10,336.08

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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.