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Finding the Fourth Proportional to 9,264.26, 12,784.30 and 5,072.52

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Solution

The fourth proportional to 9,264.26, 12,784.30 and 5,072.52 is: 6,999.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.26 : 12,784.30 = 5,072.52 : x
  2. Step 2: Convert to fraction form
    9,264.26/12,784.30 = 5,072.52/x
  3. Step 3: Cross multiply
    9,264.26x = 12,784.30 × 5,072.52
  4. Step 4: Simplify right side
    9,264.26x = 64,848,617.44
  5. Step 5: Solve for x
    x = 64,848,617.44/9,264.26
  6. Step 6: Final answer
    x = 6,999.87

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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.