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Finding the Fourth Proportional to 9,669.40, 13,344.04 and 5,477.64

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Solution

The fourth proportional to 9,669.40, 13,344.04 and 5,477.64 is: 7,559.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,669.40 : 13,344.04 = 5,477.64 : x
  2. Step 2: Convert to fraction form
    9,669.40/13,344.04 = 5,477.64/x
  3. Step 3: Cross multiply
    9,669.40x = 13,344.04 × 5,477.64
  4. Step 4: Simplify right side
    9,669.40x = 73,093,847.27
  5. Step 5: Solve for x
    x = 73,093,847.27/9,669.40
  6. Step 6: Final answer
    x = 7,559.30

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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.