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Finding the Fourth Proportional to 6,094.63, 9,135.33 and 3,173.23

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Solution

The fourth proportional to 6,094.63, 9,135.33 and 3,173.23 is: 4,756.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.63 : 9,135.33 = 3,173.23 : x
  2. Step 2: Convert to fraction form
    6,094.63/9,135.33 = 3,173.23/x
  3. Step 3: Cross multiply
    6,094.63x = 9,135.33 × 3,173.23
  4. Step 4: Simplify right side
    6,094.63x = 28,988,503.22
  5. Step 5: Solve for x
    x = 28,988,503.22/6,094.63
  6. Step 6: Final answer
    x = 4,756.40

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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.