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Finding the Fourth Proportional to 6,530.93, 9,012.56 and 3,842.44

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Solution

The fourth proportional to 6,530.93, 9,012.56 and 3,842.44 is: 5,302.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.93 : 9,012.56 = 3,842.44 : x
  2. Step 2: Convert to fraction form
    6,530.93/9,012.56 = 3,842.44/x
  3. Step 3: Cross multiply
    6,530.93x = 9,012.56 × 3,842.44
  4. Step 4: Simplify right side
    6,530.93x = 34,630,179.30
  5. Step 5: Solve for x
    x = 34,630,179.30/6,530.93
  6. Step 6: Final answer
    x = 5,302.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.