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Finding the Fourth Proportional to 6,455.90, 9,692.85 and 4,130.30

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Solution

The fourth proportional to 6,455.90, 9,692.85 and 4,130.30 is: 6,201.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,455.90 : 9,692.85 = 4,130.30 : x
  2. Step 2: Convert to fraction form
    6,455.90/9,692.85 = 4,130.30/x
  3. Step 3: Cross multiply
    6,455.90x = 9,692.85 × 4,130.30
  4. Step 4: Simplify right side
    6,455.90x = 40,034,378.36
  5. Step 5: Solve for x
    x = 40,034,378.36/6,455.90
  6. Step 6: Final answer
    x = 6,201.21

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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.