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Finding the Fourth Proportional to 9,813.03, 13,540.53 and 5,777.46

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Solution

The fourth proportional to 9,813.03, 13,540.53 and 5,777.46 is: 7,972.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.03 : 13,540.53 = 5,777.46 : x
  2. Step 2: Convert to fraction form
    9,813.03/13,540.53 = 5,777.46/x
  3. Step 3: Cross multiply
    9,813.03x = 13,540.53 × 5,777.46
  4. Step 4: Simplify right side
    9,813.03x = 78,229,870.45
  5. Step 5: Solve for x
    x = 78,229,870.45/9,813.03
  6. Step 6: Final answer
    x = 7,972.04

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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.