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Finding the Fourth Proportional to 9,380.64, 14,028.96 and 8,346.72

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Solution

The fourth proportional to 9,380.64, 14,028.96 and 8,346.72 is: 12,482.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,380.64 : 14,028.96 = 8,346.72 : x
  2. Step 2: Convert to fraction form
    9,380.64/14,028.96 = 8,346.72/x
  3. Step 3: Cross multiply
    9,380.64x = 14,028.96 × 8,346.72
  4. Step 4: Simplify right side
    9,380.64x = 117,095,801.01
  5. Step 5: Solve for x
    x = 117,095,801.01/9,380.64
  6. Step 6: Final answer
    x = 12,482.71

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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.