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Finding the Fourth Proportional to 9,178.88, 12,662.40 and 5,450.24

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Solution

The fourth proportional to 9,178.88, 12,662.40 and 5,450.24 is: 7,518.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.88 : 12,662.40 = 5,450.24 : x
  2. Step 2: Convert to fraction form
    9,178.88/12,662.40 = 5,450.24/x
  3. Step 3: Cross multiply
    9,178.88x = 12,662.40 × 5,450.24
  4. Step 4: Simplify right side
    9,178.88x = 69,013,118.98
  5. Step 5: Solve for x
    x = 69,013,118.98/9,178.88
  6. Step 6: Final answer
    x = 7,518.69

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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.