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Finding the Fourth Proportional to 6,104.93, 9,159.12 and 1,722.42

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Solution

The fourth proportional to 6,104.93, 9,159.12 and 1,722.42 is: 2,584.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,104.93 : 9,159.12 = 1,722.42 : x
  2. Step 2: Convert to fraction form
    6,104.93/9,159.12 = 1,722.42/x
  3. Step 3: Cross multiply
    6,104.93x = 9,159.12 × 1,722.42
  4. Step 4: Simplify right side
    6,104.93x = 15,775,851.47
  5. Step 5: Solve for x
    x = 15,775,851.47/6,104.93
  6. Step 6: Final answer
    x = 2,584.12

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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.