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Finding the Fourth Proportional to 9,485.41, 14,228.81 and 3,642.02

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Solution

The fourth proportional to 9,485.41, 14,228.81 and 3,642.02 is: 5,463.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,485.41 : 14,228.81 = 3,642.02 : x
  2. Step 2: Convert to fraction form
    9,485.41/14,228.81 = 3,642.02/x
  3. Step 3: Cross multiply
    9,485.41x = 14,228.81 × 3,642.02
  4. Step 4: Simplify right side
    9,485.41x = 51,821,592.39
  5. Step 5: Solve for x
    x = 51,821,592.39/9,485.41
  6. Step 6: Final answer
    x = 5,463.29

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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.