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Finding the Fourth Proportional to 6,265.76, 8,644.36 and 4,142.28

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Solution

The fourth proportional to 6,265.76, 8,644.36 and 4,142.28 is: 5,714.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,265.76 : 8,644.36 = 4,142.28 : x
  2. Step 2: Convert to fraction form
    6,265.76/8,644.36 = 4,142.28/x
  3. Step 3: Cross multiply
    6,265.76x = 8,644.36 × 4,142.28
  4. Step 4: Simplify right side
    6,265.76x = 35,807,359.54
  5. Step 5: Solve for x
    x = 35,807,359.54/6,265.76
  6. Step 6: Final answer
    x = 5,714.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.