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Finding the Fourth Proportional to 6,729.61, 10,094.46 and 2,347.07

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Solution

The fourth proportional to 6,729.61, 10,094.46 and 2,347.07 is: 3,520.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729.61 : 10,094.46 = 2,347.07 : x
  2. Step 2: Convert to fraction form
    6,729.61/10,094.46 = 2,347.07/x
  3. Step 3: Cross multiply
    6,729.61x = 10,094.46 × 2,347.07
  4. Step 4: Simplify right side
    6,729.61x = 23,692,404.23
  5. Step 5: Solve for x
    x = 23,692,404.23/6,729.61
  6. Step 6: Final answer
    x = 3,520.62

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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.