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Finding the Fourth Proportional to 9,584.40, 13,226.77 and 5,219.02

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Solution

The fourth proportional to 9,584.40, 13,226.77 and 5,219.02 is: 7,202.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,584.40 : 13,226.77 = 5,219.02 : x
  2. Step 2: Convert to fraction form
    9,584.40/13,226.77 = 5,219.02/x
  3. Step 3: Cross multiply
    9,584.40x = 13,226.77 × 5,219.02
  4. Step 4: Simplify right side
    9,584.40x = 69,030,751.07
  5. Step 5: Solve for x
    x = 69,030,751.07/9,584.40
  6. Step 6: Final answer
    x = 7,202.41

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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.