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Finding the Fourth Proportional to 9,950.91, 14,932.50 and 5,792.77

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Solution

The fourth proportional to 9,950.91, 14,932.50 and 5,792.77 is: 8,692.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,950.91 : 14,932.50 = 5,792.77 : x
  2. Step 2: Convert to fraction form
    9,950.91/14,932.50 = 5,792.77/x
  3. Step 3: Cross multiply
    9,950.91x = 14,932.50 × 5,792.77
  4. Step 4: Simplify right side
    9,950.91x = 86,500,538.03
  5. Step 5: Solve for x
    x = 86,500,538.03/9,950.91
  6. Step 6: Final answer
    x = 8,692.73

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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.