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Finding the Fourth Proportional to 9,832.14, 14,739.29 and 4,903.29

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Solution

The fourth proportional to 9,832.14, 14,739.29 and 4,903.29 is: 7,350.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.14 : 14,739.29 = 4,903.29 : x
  2. Step 2: Convert to fraction form
    9,832.14/14,739.29 = 4,903.29/x
  3. Step 3: Cross multiply
    9,832.14x = 14,739.29 × 4,903.29
  4. Step 4: Simplify right side
    9,832.14x = 72,270,939.57
  5. Step 5: Solve for x
    x = 72,270,939.57/9,832.14
  6. Step 6: Final answer
    x = 7,350.48

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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.