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Finding the Fourth Proportional to 9,454.56, 14,184 and 4,525.44

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Solution

The fourth proportional to 9,454.56, 14,184 and 4,525.44 is: 6,789.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,454.56 : 14,184 = 4,525.44 : x
  2. Step 2: Convert to fraction form
    9,454.56/14,184 = 4,525.44/x
  3. Step 3: Cross multiply
    9,454.56x = 14,184 × 4,525.44
  4. Step 4: Simplify right side
    9,454.56x = 64,188,840.96
  5. Step 5: Solve for x
    x = 64,188,840.96/9,454.56
  6. Step 6: Final answer
    x = 6,789.19

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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.