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Finding the Fourth Proportional to 9,419.01, 14,125.80 and 3,796.68

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Solution

The fourth proportional to 9,419.01, 14,125.80 and 3,796.68 is: 5,693.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419.01 : 14,125.80 = 3,796.68 : x
  2. Step 2: Convert to fraction form
    9,419.01/14,125.80 = 3,796.68/x
  3. Step 3: Cross multiply
    9,419.01x = 14,125.80 × 3,796.68
  4. Step 4: Simplify right side
    9,419.01x = 53,631,142.34
  5. Step 5: Solve for x
    x = 53,631,142.34/9,419.01
  6. Step 6: Final answer
    x = 5,693.93

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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.