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Finding the Fourth Proportional to 9,554.41, 13,184.22 and 5,574.75

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Solution

The fourth proportional to 9,554.41, 13,184.22 and 5,574.75 is: 7,692.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,554.41 : 13,184.22 = 5,574.75 : x
  2. Step 2: Convert to fraction form
    9,554.41/13,184.22 = 5,574.75/x
  3. Step 3: Cross multiply
    9,554.41x = 13,184.22 × 5,574.75
  4. Step 4: Simplify right side
    9,554.41x = 73,498,730.45
  5. Step 5: Solve for x
    x = 73,498,730.45/9,554.41
  6. Step 6: Final answer
    x = 7,692.65

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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.