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Finding the Fourth Proportional to 9,947.76, 14,922.05 and 4,103.82

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Solution

The fourth proportional to 9,947.76, 14,922.05 and 4,103.82 is: 6,155.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,947.76 : 14,922.05 = 4,103.82 : x
  2. Step 2: Convert to fraction form
    9,947.76/14,922.05 = 4,103.82/x
  3. Step 3: Cross multiply
    9,947.76x = 14,922.05 × 4,103.82
  4. Step 4: Simplify right side
    9,947.76x = 61,237,407.23
  5. Step 5: Solve for x
    x = 61,237,407.23/9,947.76
  6. Step 6: Final answer
    x = 6,155.90

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