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Finding the Fourth Proportional to 6,094.34, 9,129.33 and 2,802.92

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Solution

The fourth proportional to 6,094.34, 9,129.33 and 2,802.92 is: 4,198.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.34 : 9,129.33 = 2,802.92 : x
  2. Step 2: Convert to fraction form
    6,094.34/9,129.33 = 2,802.92/x
  3. Step 3: Cross multiply
    6,094.34x = 9,129.33 × 2,802.92
  4. Step 4: Simplify right side
    6,094.34x = 25,588,781.64
  5. Step 5: Solve for x
    x = 25,588,781.64/6,094.34
  6. Step 6: Final answer
    x = 4,198.78

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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.