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Finding the Fourth Proportional to 6,637.85, 9,160.37 and 3,653.81

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Solution

The fourth proportional to 6,637.85, 9,160.37 and 3,653.81 is: 5,042.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,637.85 : 9,160.37 = 3,653.81 : x
  2. Step 2: Convert to fraction form
    6,637.85/9,160.37 = 3,653.81/x
  3. Step 3: Cross multiply
    6,637.85x = 9,160.37 × 3,653.81
  4. Step 4: Simplify right side
    6,637.85x = 33,470,256.04
  5. Step 5: Solve for x
    x = 33,470,256.04/6,637.85
  6. Step 6: Final answer
    x = 5,042.33

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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.