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Finding the Fourth Proportional to 9,692.90, 13,376.88 and 6,511.51

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Solution

The fourth proportional to 9,692.90, 13,376.88 and 6,511.51 is: 8,986.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,692.90 : 13,376.88 = 6,511.51 : x
  2. Step 2: Convert to fraction form
    9,692.90/13,376.88 = 6,511.51/x
  3. Step 3: Cross multiply
    9,692.90x = 13,376.88 × 6,511.51
  4. Step 4: Simplify right side
    9,692.90x = 87,103,588.45
  5. Step 5: Solve for x
    x = 87,103,588.45/9,692.90
  6. Step 6: Final answer
    x = 8,986.33

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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.