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Finding the Fourth Proportional to 7,073.32, 9,761.50 and 4,241.16

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Solution

The fourth proportional to 7,073.32, 9,761.50 and 4,241.16 is: 5,852.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,073.32 : 9,761.50 = 4,241.16 : x
  2. Step 2: Convert to fraction form
    7,073.32/9,761.50 = 4,241.16/x
  3. Step 3: Cross multiply
    7,073.32x = 9,761.50 × 4,241.16
  4. Step 4: Simplify right side
    7,073.32x = 41,400,083.34
  5. Step 5: Solve for x
    x = 41,400,083.34/7,073.32
  6. Step 6: Final answer
    x = 5,852.99

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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.