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Finding the Fourth Proportional to 6,349.85, 9,526.73 and 2,842.80

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Solution

The fourth proportional to 6,349.85, 9,526.73 and 2,842.80 is: 4,265.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349.85 : 9,526.73 = 2,842.80 : x
  2. Step 2: Convert to fraction form
    6,349.85/9,526.73 = 2,842.80/x
  3. Step 3: Cross multiply
    6,349.85x = 9,526.73 × 2,842.80
  4. Step 4: Simplify right side
    6,349.85x = 27,082,573.83
  5. Step 5: Solve for x
    x = 27,082,573.83/6,349.85
  6. Step 6: Final answer
    x = 4,265.08

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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.