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Finding the Fourth Proportional to 9,692.11, 14,528.44 and 8,039.71

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Solution

The fourth proportional to 9,692.11, 14,528.44 and 8,039.71 is: 12,051.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,692.11 : 14,528.44 = 8,039.71 : x
  2. Step 2: Convert to fraction form
    9,692.11/14,528.44 = 8,039.71/x
  3. Step 3: Cross multiply
    9,692.11x = 14,528.44 × 8,039.71
  4. Step 4: Simplify right side
    9,692.11x = 116,804,444.35
  5. Step 5: Solve for x
    x = 116,804,444.35/9,692.11
  6. Step 6: Final answer
    x = 12,051.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.