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Finding the Fourth Proportional to 9,072.90, 12,520.62 and 5,094

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Solution

The fourth proportional to 9,072.90, 12,520.62 and 5,094 is: 7,029.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,072.90 : 12,520.62 = 5,094 : x
  2. Step 2: Convert to fraction form
    9,072.90/12,520.62 = 5,094/x
  3. Step 3: Cross multiply
    9,072.90x = 12,520.62 × 5,094
  4. Step 4: Simplify right side
    9,072.90x = 63,780,038.28
  5. Step 5: Solve for x
    x = 63,780,038.28/9,072.90
  6. Step 6: Final answer
    x = 7,029.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.