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Finding the Fourth Proportional to 9,264.11, 12,784.61 and 5,287.41

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Solution

The fourth proportional to 9,264.11, 12,784.61 and 5,287.41 is: 7,296.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.11 : 12,784.61 = 5,287.41 : x
  2. Step 2: Convert to fraction form
    9,264.11/12,784.61 = 5,287.41/x
  3. Step 3: Cross multiply
    9,264.11x = 12,784.61 × 5,287.41
  4. Step 4: Simplify right side
    9,264.11x = 67,597,487.98
  5. Step 5: Solve for x
    x = 67,597,487.98/9,264.11
  6. Step 6: Final answer
    x = 7,296.71

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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.