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Finding the Fourth Proportional to 9,903.81, 13,667.04 and 5,427.47

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Solution

The fourth proportional to 9,903.81, 13,667.04 and 5,427.47 is: 7,489.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,903.81 : 13,667.04 = 5,427.47 : x
  2. Step 2: Convert to fraction form
    9,903.81/13,667.04 = 5,427.47/x
  3. Step 3: Cross multiply
    9,903.81x = 13,667.04 × 5,427.47
  4. Step 4: Simplify right side
    9,903.81x = 74,177,381.25
  5. Step 5: Solve for x
    x = 74,177,381.25/9,903.81
  6. Step 6: Final answer
    x = 7,489.78

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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.