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Finding the Fourth Proportional to 9,395.72, 12,966.60 and 5,204

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Solution

The fourth proportional to 9,395.72, 12,966.60 and 5,204 is: 7,181.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,395.72 : 12,966.60 = 5,204 : x
  2. Step 2: Convert to fraction form
    9,395.72/12,966.60 = 5,204/x
  3. Step 3: Cross multiply
    9,395.72x = 12,966.60 × 5,204
  4. Step 4: Simplify right side
    9,395.72x = 67,478,186.40
  5. Step 5: Solve for x
    x = 67,478,186.40/9,395.72
  6. Step 6: Final answer
    x = 7,181.80

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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.