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Finding the Fourth Proportional to 6,649.60, 9,176.51 and 3,665.55

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Solution

The fourth proportional to 6,649.60, 9,176.51 and 3,665.55 is: 5,058.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649.60 : 9,176.51 = 3,665.55 : x
  2. Step 2: Convert to fraction form
    6,649.60/9,176.51 = 3,665.55/x
  3. Step 3: Cross multiply
    6,649.60x = 9,176.51 × 3,665.55
  4. Step 4: Simplify right side
    6,649.60x = 33,636,956.23
  5. Step 5: Solve for x
    x = 33,636,956.23/6,649.60
  6. Step 6: Final answer
    x = 5,058.49

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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.