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Finding the Fourth Proportional to 9,808.49, 13,521.43 and 7,446.53

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Solution

The fourth proportional to 9,808.49, 13,521.43 and 7,446.53 is: 10,265.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.49 : 13,521.43 = 7,446.53 : x
  2. Step 2: Convert to fraction form
    9,808.49/13,521.43 = 7,446.53/x
  3. Step 3: Cross multiply
    9,808.49x = 13,521.43 × 7,446.53
  4. Step 4: Simplify right side
    9,808.49x = 100,687,777.25
  5. Step 5: Solve for x
    x = 100,687,777.25/9,808.49
  6. Step 6: Final answer
    x = 10,265.37

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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.