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Finding the Fourth Proportional to 6,963, 9,609.33 and 4,132.05

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Solution

The fourth proportional to 6,963, 9,609.33 and 4,132.05 is: 5,702.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,963 : 9,609.33 = 4,132.05 : x
  2. Step 2: Convert to fraction form
    6,963/9,609.33 = 4,132.05/x
  3. Step 3: Cross multiply
    6,963x = 9,609.33 × 4,132.05
  4. Step 4: Simplify right side
    6,963x = 39,706,232.03
  5. Step 5: Solve for x
    x = 39,706,232.03/6,963
  6. Step 6: Final answer
    x = 5,702.46

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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.