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Finding the Fourth Proportional to 9,268.40, 12,794.52 and 5,915.64

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Solution

The fourth proportional to 9,268.40, 12,794.52 and 5,915.64 is: 8,166.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,268.40 : 12,794.52 = 5,915.64 : x
  2. Step 2: Convert to fraction form
    9,268.40/12,794.52 = 5,915.64/x
  3. Step 3: Cross multiply
    9,268.40x = 12,794.52 × 5,915.64
  4. Step 4: Simplify right side
    9,268.40x = 75,687,774.29
  5. Step 5: Solve for x
    x = 75,687,774.29/9,268.40
  6. Step 6: Final answer
    x = 8,166.22

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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.