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Finding the Fourth Proportional to 9,612.77, 14,414 and 4,930.86

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Solution

The fourth proportional to 9,612.77, 14,414 and 4,930.86 is: 7,393.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.77 : 14,414 = 4,930.86 : x
  2. Step 2: Convert to fraction form
    9,612.77/14,414 = 4,930.86/x
  3. Step 3: Cross multiply
    9,612.77x = 14,414 × 4,930.86
  4. Step 4: Simplify right side
    9,612.77x = 71,073,416.04
  5. Step 5: Solve for x
    x = 71,073,416.04/9,612.77
  6. Step 6: Final answer
    x = 7,393.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.