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Finding the Fourth Proportional to 8,901.95, 12,284.47 and 4,922.96

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Solution

The fourth proportional to 8,901.95, 12,284.47 and 4,922.96 is: 6,793.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,901.95 : 12,284.47 = 4,922.96 : x
  2. Step 2: Convert to fraction form
    8,901.95/12,284.47 = 4,922.96/x
  3. Step 3: Cross multiply
    8,901.95x = 12,284.47 × 4,922.96
  4. Step 4: Simplify right side
    8,901.95x = 60,475,954.43
  5. Step 5: Solve for x
    x = 60,475,954.43/8,901.95
  6. Step 6: Final answer
    x = 6,793.56

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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.