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Finding the Fourth Proportional to 9,754.86, 14,610.42 and 9,426.81

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Solution

The fourth proportional to 9,754.86, 14,610.42 and 9,426.81 is: 14,119.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.86 : 14,610.42 = 9,426.81 : x
  2. Step 2: Convert to fraction form
    9,754.86/14,610.42 = 9,426.81/x
  3. Step 3: Cross multiply
    9,754.86x = 14,610.42 × 9,426.81
  4. Step 4: Simplify right side
    9,754.86x = 137,729,653.36
  5. Step 5: Solve for x
    x = 137,729,653.36/9,754.86
  6. Step 6: Final answer
    x = 14,119.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.