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Finding the Fourth Proportional to 6,461.90, 9,692.91 and 1,781.99

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Solution

The fourth proportional to 6,461.90, 9,692.91 and 1,781.99 is: 2,673.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.90 : 9,692.91 = 1,781.99 : x
  2. Step 2: Convert to fraction form
    6,461.90/9,692.91 = 1,781.99/x
  3. Step 3: Cross multiply
    6,461.90x = 9,692.91 × 1,781.99
  4. Step 4: Simplify right side
    6,461.90x = 17,272,668.69
  5. Step 5: Solve for x
    x = 17,272,668.69/6,461.90
  6. Step 6: Final answer
    x = 2,673.00

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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.