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Finding the Fourth Proportional to 9,546.66, 14,282.73 and 8,438.58

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Solution

The fourth proportional to 9,546.66, 14,282.73 and 8,438.58 is: 12,624.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,546.66 : 14,282.73 = 8,438.58 : x
  2. Step 2: Convert to fraction form
    9,546.66/14,282.73 = 8,438.58/x
  3. Step 3: Cross multiply
    9,546.66x = 14,282.73 × 8,438.58
  4. Step 4: Simplify right side
    9,546.66x = 120,525,959.72
  5. Step 5: Solve for x
    x = 120,525,959.72/9,546.66
  6. Step 6: Final answer
    x = 12,624.93

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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.