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Finding the Fourth Proportional to 8,846.96, 12,208.86 and 4,867.96

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Solution

The fourth proportional to 8,846.96, 12,208.86 and 4,867.96 is: 6,717.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,846.96 : 12,208.86 = 4,867.96 : x
  2. Step 2: Convert to fraction form
    8,846.96/12,208.86 = 4,867.96/x
  3. Step 3: Cross multiply
    8,846.96x = 12,208.86 × 4,867.96
  4. Step 4: Simplify right side
    8,846.96x = 59,432,242.13
  5. Step 5: Solve for x
    x = 59,432,242.13/8,846.96
  6. Step 6: Final answer
    x = 6,717.82

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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.