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Finding the Fourth Proportional to 9,685.17, 13,365 and 5,493.42

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Solution

The fourth proportional to 9,685.17, 13,365 and 5,493.42 is: 7,580.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.17 : 13,365 = 5,493.42 : x
  2. Step 2: Convert to fraction form
    9,685.17/13,365 = 5,493.42/x
  3. Step 3: Cross multiply
    9,685.17x = 13,365 × 5,493.42
  4. Step 4: Simplify right side
    9,685.17x = 73,419,558.30
  5. Step 5: Solve for x
    x = 73,419,558.30/9,685.17
  6. Step 6: Final answer
    x = 7,580.62

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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.