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Finding the Fourth Proportional to 6,602.16, 9,110.80 and 3,617.92

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Solution

The fourth proportional to 6,602.16, 9,110.80 and 3,617.92 is: 4,992.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,602.16 : 9,110.80 = 3,617.92 : x
  2. Step 2: Convert to fraction form
    6,602.16/9,110.80 = 3,617.92/x
  3. Step 3: Cross multiply
    6,602.16x = 9,110.80 × 3,617.92
  4. Step 4: Simplify right side
    6,602.16x = 32,962,145.54
  5. Step 5: Solve for x
    x = 32,962,145.54/6,602.16
  6. Step 6: Final answer
    x = 4,992.63

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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.