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Finding the Fourth Proportional to 6,506.83, 9,770.97 and 5,692.09

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Solution

The fourth proportional to 6,506.83, 9,770.97 and 5,692.09 is: 8,547.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.83 : 9,770.97 = 5,692.09 : x
  2. Step 2: Convert to fraction form
    6,506.83/9,770.97 = 5,692.09/x
  3. Step 3: Cross multiply
    6,506.83x = 9,770.97 × 5,692.09
  4. Step 4: Simplify right side
    6,506.83x = 55,617,240.63
  5. Step 5: Solve for x
    x = 55,617,240.63/6,506.83
  6. Step 6: Final answer
    x = 8,547.52

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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.