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Finding the Fourth Proportional to 9,923.02, 13,692.98 and 5,446.76

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Solution

The fourth proportional to 9,923.02, 13,692.98 and 5,446.76 is: 7,516.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,923.02 : 13,692.98 = 5,446.76 : x
  2. Step 2: Convert to fraction form
    9,923.02/13,692.98 = 5,446.76/x
  3. Step 3: Cross multiply
    9,923.02x = 13,692.98 × 5,446.76
  4. Step 4: Simplify right side
    9,923.02x = 74,582,320.90
  5. Step 5: Solve for x
    x = 74,582,320.90/9,923.02
  6. Step 6: Final answer
    x = 7,516.09

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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.