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Finding the Fourth Proportional to 9,178.43, 12,648.08 and 6,518.39

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Solution

The fourth proportional to 9,178.43, 12,648.08 and 6,518.39 is: 8,982.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.43 : 12,648.08 = 6,518.39 : x
  2. Step 2: Convert to fraction form
    9,178.43/12,648.08 = 6,518.39/x
  3. Step 3: Cross multiply
    9,178.43x = 12,648.08 × 6,518.39
  4. Step 4: Simplify right side
    9,178.43x = 82,445,071.25
  5. Step 5: Solve for x
    x = 82,445,071.25/9,178.43
  6. Step 6: Final answer
    x = 8,982.49

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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.