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Finding the Fourth Proportional to 6,269.76, 8,649.88 and 4,146.28

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Solution

The fourth proportional to 6,269.76, 8,649.88 and 4,146.28 is: 5,720.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,269.76 : 8,649.88 = 4,146.28 : x
  2. Step 2: Convert to fraction form
    6,269.76/8,649.88 = 4,146.28/x
  3. Step 3: Cross multiply
    6,269.76x = 8,649.88 × 4,146.28
  4. Step 4: Simplify right side
    6,269.76x = 35,864,824.45
  5. Step 5: Solve for x
    x = 35,864,824.45/6,269.76
  6. Step 6: Final answer
    x = 5,720.29

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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.