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Finding the Fourth Proportional to 8,909.34, 12,294.38 and 4,930.22

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Solution

The fourth proportional to 8,909.34, 12,294.38 and 4,930.22 is: 6,803.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,909.34 : 12,294.38 = 4,930.22 : x
  2. Step 2: Convert to fraction form
    8,909.34/12,294.38 = 4,930.22/x
  3. Step 3: Cross multiply
    8,909.34x = 12,294.38 × 4,930.22
  4. Step 4: Simplify right side
    8,909.34x = 60,613,972.07
  5. Step 5: Solve for x
    x = 60,613,972.07/8,909.34
  6. Step 6: Final answer
    x = 6,803.42

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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.