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Finding the Fourth Proportional to 6,522.39, 9,784.14 and 1,842.42

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Solution

The fourth proportional to 6,522.39, 9,784.14 and 1,842.42 is: 2,763.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.39 : 9,784.14 = 1,842.42 : x
  2. Step 2: Convert to fraction form
    6,522.39/9,784.14 = 1,842.42/x
  3. Step 3: Cross multiply
    6,522.39x = 9,784.14 × 1,842.42
  4. Step 4: Simplify right side
    6,522.39x = 18,026,495.22
  5. Step 5: Solve for x
    x = 18,026,495.22/6,522.39
  6. Step 6: Final answer
    x = 2,763.79

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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.