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Finding the Fourth Proportional to 9,040.40, 13,568.70 and 7,809.20

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Solution

The fourth proportional to 9,040.40, 13,568.70 and 7,809.20 is: 11,720.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,040.40 : 13,568.70 = 7,809.20 : x
  2. Step 2: Convert to fraction form
    9,040.40/13,568.70 = 7,809.20/x
  3. Step 3: Cross multiply
    9,040.40x = 13,568.70 × 7,809.20
  4. Step 4: Simplify right side
    9,040.40x = 105,960,692.04
  5. Step 5: Solve for x
    x = 105,960,692.04/9,040.40
  6. Step 6: Final answer
    x = 11,720.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.