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Finding the Fourth Proportional to 6,649.76, 9,176.64 and 3,665.52

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Solution

The fourth proportional to 6,649.76, 9,176.64 and 3,665.52 is: 5,058.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649.76 : 9,176.64 = 3,665.52 : x
  2. Step 2: Convert to fraction form
    6,649.76/9,176.64 = 3,665.52/x
  3. Step 3: Cross multiply
    6,649.76x = 9,176.64 × 3,665.52
  4. Step 4: Simplify right side
    6,649.76x = 33,637,157.45
  5. Step 5: Solve for x
    x = 33,637,157.45/6,649.76
  6. Step 6: Final answer
    x = 5,058.40

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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.