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Finding the Fourth Proportional to 9,692.29, 14,516.30 and 5,788.69

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Solution

The fourth proportional to 9,692.29, 14,516.30 and 5,788.69 is: 8,669.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,692.29 : 14,516.30 = 5,788.69 : x
  2. Step 2: Convert to fraction form
    9,692.29/14,516.30 = 5,788.69/x
  3. Step 3: Cross multiply
    9,692.29x = 14,516.30 × 5,788.69
  4. Step 4: Simplify right side
    9,692.29x = 84,030,331.70
  5. Step 5: Solve for x
    x = 84,030,331.70/9,692.29
  6. Step 6: Final answer
    x = 8,669.81

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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.