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Finding the Fourth Proportional to 7,073.46, 9,761.58 and 4,090.23

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Solution

The fourth proportional to 7,073.46, 9,761.58 and 4,090.23 is: 5,644.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,073.46 : 9,761.58 = 4,090.23 : x
  2. Step 2: Convert to fraction form
    7,073.46/9,761.58 = 4,090.23/x
  3. Step 3: Cross multiply
    7,073.46x = 9,761.58 × 4,090.23
  4. Step 4: Simplify right side
    7,073.46x = 39,927,107.36
  5. Step 5: Solve for x
    x = 39,927,107.36/7,073.46
  6. Step 6: Final answer
    x = 5,644.64

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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.