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Finding the Fourth Proportional to 8,909.90, 12,295.48 and 4,930.78

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Solution

The fourth proportional to 8,909.90, 12,295.48 and 4,930.78 is: 6,804.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,909.90 : 12,295.48 = 4,930.78 : x
  2. Step 2: Convert to fraction form
    8,909.90/12,295.48 = 4,930.78/x
  3. Step 3: Cross multiply
    8,909.90x = 12,295.48 × 4,930.78
  4. Step 4: Simplify right side
    8,909.90x = 60,626,306.87
  5. Step 5: Solve for x
    x = 60,626,306.87/8,909.90
  6. Step 6: Final answer
    x = 6,804.38

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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.