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Finding the Fourth Proportional to 9,024.23, 13,538.05 and 4,094.25

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Solution

The fourth proportional to 9,024.23, 13,538.05 and 4,094.25 is: 6,142.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,024.23 : 13,538.05 = 4,094.25 : x
  2. Step 2: Convert to fraction form
    9,024.23/13,538.05 = 4,094.25/x
  3. Step 3: Cross multiply
    9,024.23x = 13,538.05 × 4,094.25
  4. Step 4: Simplify right side
    9,024.23x = 55,428,161.21
  5. Step 5: Solve for x
    x = 55,428,161.21/9,024.23
  6. Step 6: Final answer
    x = 6,142.15

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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.