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Finding the Fourth Proportional to 6,649.74, 9,176.49 and 3,665.70

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Solution

The fourth proportional to 6,649.74, 9,176.49 and 3,665.70 is: 5,058.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649.74 : 9,176.49 = 3,665.70 : x
  2. Step 2: Convert to fraction form
    6,649.74/9,176.49 = 3,665.70/x
  3. Step 3: Cross multiply
    6,649.74x = 9,176.49 × 3,665.70
  4. Step 4: Simplify right side
    6,649.74x = 33,638,259.39
  5. Step 5: Solve for x
    x = 33,638,259.39/6,649.74
  6. Step 6: Final answer
    x = 5,058.58

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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.