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Finding the Fourth Proportional to 9,236.64, 12,746.64 and 5,044.86

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Solution

The fourth proportional to 9,236.64, 12,746.64 and 5,044.86 is: 6,961.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,236.64 : 12,746.64 = 5,044.86 : x
  2. Step 2: Convert to fraction form
    9,236.64/12,746.64 = 5,044.86/x
  3. Step 3: Cross multiply
    9,236.64x = 12,746.64 × 5,044.86
  4. Step 4: Simplify right side
    9,236.64x = 64,305,014.27
  5. Step 5: Solve for x
    x = 64,305,014.27/9,236.64
  6. Step 6: Final answer
    x = 6,961.95

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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.