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Finding the Fourth Proportional to 6,456.30, 9,692.01 and 5,373.66

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Solution

The fourth proportional to 6,456.30, 9,692.01 and 5,373.66 is: 8,066.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.30 : 9,692.01 = 5,373.66 : x
  2. Step 2: Convert to fraction form
    6,456.30/9,692.01 = 5,373.66/x
  3. Step 3: Cross multiply
    6,456.30x = 9,692.01 × 5,373.66
  4. Step 4: Simplify right side
    6,456.30x = 52,081,566.46
  5. Step 5: Solve for x
    x = 52,081,566.46/6,456.30
  6. Step 6: Final answer
    x = 8,066.78

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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.