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Finding the Fourth Proportional to 9,383.80, 12,950.50 and 5,192.84

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Solution

The fourth proportional to 9,383.80, 12,950.50 and 5,192.84 is: 7,166.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,383.80 : 12,950.50 = 5,192.84 : x
  2. Step 2: Convert to fraction form
    9,383.80/12,950.50 = 5,192.84/x
  3. Step 3: Cross multiply
    9,383.80x = 12,950.50 × 5,192.84
  4. Step 4: Simplify right side
    9,383.80x = 67,249,874.42
  5. Step 5: Solve for x
    x = 67,249,874.42/9,383.80
  6. Step 6: Final answer
    x = 7,166.59

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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.