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Finding the Fourth Proportional to 9,184.90, 12,680.36 and 7,027.38

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Solution

The fourth proportional to 9,184.90, 12,680.36 and 7,027.38 is: 9,701.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,184.90 : 12,680.36 = 7,027.38 : x
  2. Step 2: Convert to fraction form
    9,184.90/12,680.36 = 7,027.38/x
  3. Step 3: Cross multiply
    9,184.90x = 12,680.36 × 7,027.38
  4. Step 4: Simplify right side
    9,184.90x = 89,109,708.26
  5. Step 5: Solve for x
    x = 89,109,708.26/9,184.90
  6. Step 6: Final answer
    x = 9,701.76

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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.