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Finding the Fourth Proportional to 9,923.76, 13,692.51 and 5,945.58

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Solution

The fourth proportional to 9,923.76, 13,692.51 and 5,945.58 is: 8,203.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,923.76 : 13,692.51 = 5,945.58 : x
  2. Step 2: Convert to fraction form
    9,923.76/13,692.51 = 5,945.58/x
  3. Step 3: Cross multiply
    9,923.76x = 13,692.51 × 5,945.58
  4. Step 4: Simplify right side
    9,923.76x = 81,409,913.61
  5. Step 5: Solve for x
    x = 81,409,913.61/9,923.76
  6. Step 6: Final answer
    x = 8,203.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.