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Finding the Fourth Proportional to 6,563.34, 9,057.18 and 3,730.66

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Solution

The fourth proportional to 6,563.34, 9,057.18 and 3,730.66 is: 5,148.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.34 : 9,057.18 = 3,730.66 : x
  2. Step 2: Convert to fraction form
    6,563.34/9,057.18 = 3,730.66/x
  3. Step 3: Cross multiply
    6,563.34x = 9,057.18 × 3,730.66
  4. Step 4: Simplify right side
    6,563.34x = 33,789,259.14
  5. Step 5: Solve for x
    x = 33,789,259.14/6,563.34
  6. Step 6: Final answer
    x = 5,148.18

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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.