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Finding the Fourth Proportional to 9,692.40, 13,376.18 and 6,511.01

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Solution

The fourth proportional to 9,692.40, 13,376.18 and 6,511.01 is: 8,985.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,692.40 : 13,376.18 = 6,511.01 : x
  2. Step 2: Convert to fraction form
    9,692.40/13,376.18 = 6,511.01/x
  3. Step 3: Cross multiply
    9,692.40x = 13,376.18 × 6,511.01
  4. Step 4: Simplify right side
    9,692.40x = 87,092,391.14
  5. Step 5: Solve for x
    x = 87,092,391.14/9,692.40
  6. Step 6: Final answer
    x = 8,985.64

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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.