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Finding the Fourth Proportional to 6,649.62, 9,176.06 and 3,665.48

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Solution

The fourth proportional to 6,649.62, 9,176.06 and 3,665.48 is: 5,058.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649.62 : 9,176.06 = 3,665.48 : x
  2. Step 2: Convert to fraction form
    6,649.62/9,176.06 = 3,665.48/x
  3. Step 3: Cross multiply
    6,649.62x = 9,176.06 × 3,665.48
  4. Step 4: Simplify right side
    6,649.62x = 33,634,607.07
  5. Step 5: Solve for x
    x = 33,634,607.07/6,649.62
  6. Step 6: Final answer
    x = 5,058.13

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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.