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Finding the Fourth Proportional to 8,922.74, 12,314.25 and 5,196.50

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Solution

The fourth proportional to 8,922.74, 12,314.25 and 5,196.50 is: 7,171.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,922.74 : 12,314.25 = 5,196.50 : x
  2. Step 2: Convert to fraction form
    8,922.74/12,314.25 = 5,196.50/x
  3. Step 3: Cross multiply
    8,922.74x = 12,314.25 × 5,196.50
  4. Step 4: Simplify right side
    8,922.74x = 63,991,000.13
  5. Step 5: Solve for x
    x = 63,991,000.13/8,922.74
  6. Step 6: Final answer
    x = 7,171.68

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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.