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Finding the Fourth Proportional to 9,389.71, 14,090.03 and 3,546.78

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Solution

The fourth proportional to 9,389.71, 14,090.03 and 3,546.78 is: 5,322.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,389.71 : 14,090.03 = 3,546.78 : x
  2. Step 2: Convert to fraction form
    9,389.71/14,090.03 = 3,546.78/x
  3. Step 3: Cross multiply
    9,389.71x = 14,090.03 × 3,546.78
  4. Step 4: Simplify right side
    9,389.71x = 49,974,236.60
  5. Step 5: Solve for x
    x = 49,974,236.60/9,389.71
  6. Step 6: Final answer
    x = 5,322.23

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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.