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Finding the Fourth Proportional to 6,459.70, 9,692.75 and 2,564.02

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Solution

The fourth proportional to 6,459.70, 9,692.75 and 2,564.02 is: 3,847.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,459.70 : 9,692.75 = 2,564.02 : x
  2. Step 2: Convert to fraction form
    6,459.70/9,692.75 = 2,564.02/x
  3. Step 3: Cross multiply
    6,459.70x = 9,692.75 × 2,564.02
  4. Step 4: Simplify right side
    6,459.70x = 24,852,404.86
  5. Step 5: Solve for x
    x = 24,852,404.86/6,459.70
  6. Step 6: Final answer
    x = 3,847.30

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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.