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Finding the Fourth Proportional to 9,797.34, 14,692.34 and 3,950.76

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Solution

The fourth proportional to 9,797.34, 14,692.34 and 3,950.76 is: 5,924.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.34 : 14,692.34 = 3,950.76 : x
  2. Step 2: Convert to fraction form
    9,797.34/14,692.34 = 3,950.76/x
  3. Step 3: Cross multiply
    9,797.34x = 14,692.34 × 3,950.76
  4. Step 4: Simplify right side
    9,797.34x = 58,045,909.18
  5. Step 5: Solve for x
    x = 58,045,909.18/9,797.34
  6. Step 6: Final answer
    x = 5,924.66

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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.