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Finding the Fourth Proportional to 6,636.16, 9,161.20 and 4,657.23

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Solution

The fourth proportional to 6,636.16, 9,161.20 and 4,657.23 is: 6,429.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,636.16 : 9,161.20 = 4,657.23 : x
  2. Step 2: Convert to fraction form
    6,636.16/9,161.20 = 4,657.23/x
  3. Step 3: Cross multiply
    6,636.16x = 9,161.20 × 4,657.23
  4. Step 4: Simplify right side
    6,636.16x = 42,665,821.30
  5. Step 5: Solve for x
    x = 42,665,821.30/6,636.16
  6. Step 6: Final answer
    x = 6,429.29

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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.