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Finding the Fourth Proportional to 9,400.41, 14,017.67 and 9,316.05

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Solution

The fourth proportional to 9,400.41, 14,017.67 and 9,316.05 is: 13,891.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,400.41 : 14,017.67 = 9,316.05 : x
  2. Step 2: Convert to fraction form
    9,400.41/14,017.67 = 9,316.05/x
  3. Step 3: Cross multiply
    9,400.41x = 14,017.67 × 9,316.05
  4. Step 4: Simplify right side
    9,400.41x = 130,589,268.02
  5. Step 5: Solve for x
    x = 130,589,268.02/9,400.41
  6. Step 6: Final answer
    x = 13,891.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.