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Finding the Fourth Proportional to 9,396.65, 12,967.35 and 5,204.90

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Solution

The fourth proportional to 9,396.65, 12,967.35 and 5,204.90 is: 7,182.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,396.65 : 12,967.35 = 5,204.90 : x
  2. Step 2: Convert to fraction form
    9,396.65/12,967.35 = 5,204.90/x
  3. Step 3: Cross multiply
    9,396.65x = 12,967.35 × 5,204.90
  4. Step 4: Simplify right side
    9,396.65x = 67,493,760.02
  5. Step 5: Solve for x
    x = 67,493,760.02/9,396.65
  6. Step 6: Final answer
    x = 7,182.75

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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.