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Finding the Fourth Proportional to 6,295.02, 9,442.23 and 1,615.14

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Solution

The fourth proportional to 6,295.02, 9,442.23 and 1,615.14 is: 2,422.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,295.02 : 9,442.23 = 1,615.14 : x
  2. Step 2: Convert to fraction form
    6,295.02/9,442.23 = 1,615.14/x
  3. Step 3: Cross multiply
    6,295.02x = 9,442.23 × 1,615.14
  4. Step 4: Simplify right side
    6,295.02x = 15,250,523.36
  5. Step 5: Solve for x
    x = 15,250,523.36/6,295.02
  6. Step 6: Final answer
    x = 2,422.63

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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.