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Finding the Fourth Proportional to 9,427.67, 13,008.74 and 5,448.02

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Solution

The fourth proportional to 9,427.67, 13,008.74 and 5,448.02 is: 7,517.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,427.67 : 13,008.74 = 5,448.02 : x
  2. Step 2: Convert to fraction form
    9,427.67/13,008.74 = 5,448.02/x
  3. Step 3: Cross multiply
    9,427.67x = 13,008.74 × 5,448.02
  4. Step 4: Simplify right side
    9,427.67x = 70,871,810.65
  5. Step 5: Solve for x
    x = 70,871,810.65/9,427.67
  6. Step 6: Final answer
    x = 7,517.43

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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.