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Finding the Fourth Proportional to 6,522.06, 9,770.85 and 3,231.30

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Solution

The fourth proportional to 6,522.06, 9,770.85 and 3,231.30 is: 4,840.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.06 : 9,770.85 = 3,231.30 : x
  2. Step 2: Convert to fraction form
    6,522.06/9,770.85 = 3,231.30/x
  3. Step 3: Cross multiply
    6,522.06x = 9,770.85 × 3,231.30
  4. Step 4: Simplify right side
    6,522.06x = 31,572,547.61
  5. Step 5: Solve for x
    x = 31,572,547.61/6,522.06
  6. Step 6: Final answer
    x = 4,840.89

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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.