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Finding the Fourth Proportional to 9,596.04, 13,241.43 and 5,346.42

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Solution

The fourth proportional to 9,596.04, 13,241.43 and 5,346.42 is: 7,377.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.04 : 13,241.43 = 5,346.42 : x
  2. Step 2: Convert to fraction form
    9,596.04/13,241.43 = 5,346.42/x
  3. Step 3: Cross multiply
    9,596.04x = 13,241.43 × 5,346.42
  4. Step 4: Simplify right side
    9,596.04x = 70,794,246.18
  5. Step 5: Solve for x
    x = 70,794,246.18/9,596.04
  6. Step 6: Final answer
    x = 7,377.44

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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.