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Finding the Fourth Proportional to 9,396.50, 12,967.58 and 5,204.75

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Solution

The fourth proportional to 9,396.50, 12,967.58 and 5,204.75 is: 7,182.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,396.50 : 12,967.58 = 5,204.75 : x
  2. Step 2: Convert to fraction form
    9,396.50/12,967.58 = 5,204.75/x
  3. Step 3: Cross multiply
    9,396.50x = 12,967.58 × 5,204.75
  4. Step 4: Simplify right side
    9,396.50x = 67,492,985.98
  5. Step 5: Solve for x
    x = 67,492,985.98/9,396.50
  6. Step 6: Final answer
    x = 7,182.78

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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.