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Finding the Fourth Proportional to 9,539.40, 13,154.44 and 7,546.80

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Solution

The fourth proportional to 9,539.40, 13,154.44 and 7,546.80 is: 10,406.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,539.40 : 13,154.44 = 7,546.80 : x
  2. Step 2: Convert to fraction form
    9,539.40/13,154.44 = 7,546.80/x
  3. Step 3: Cross multiply
    9,539.40x = 13,154.44 × 7,546.80
  4. Step 4: Simplify right side
    9,539.40x = 99,273,927.79
  5. Step 5: Solve for x
    x = 99,273,927.79/9,539.40
  6. Step 6: Final answer
    x = 10,406.73

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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.