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Finding the Fourth Proportional to 9,387.54, 12,954.33 and 5,196.06

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Solution

The fourth proportional to 9,387.54, 12,954.33 and 5,196.06 is: 7,170.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,387.54 : 12,954.33 = 5,196.06 : x
  2. Step 2: Convert to fraction form
    9,387.54/12,954.33 = 5,196.06/x
  3. Step 3: Cross multiply
    9,387.54x = 12,954.33 × 5,196.06
  4. Step 4: Simplify right side
    9,387.54x = 67,311,475.94
  5. Step 5: Solve for x
    x = 67,311,475.94/9,387.54
  6. Step 6: Final answer
    x = 7,170.30

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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.