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Finding the Fourth Proportional to 9,573.27, 14,345.24 and 6,441.67

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Solution

The fourth proportional to 9,573.27, 14,345.24 and 6,441.67 is: 9,652.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,573.27 : 14,345.24 = 6,441.67 : x
  2. Step 2: Convert to fraction form
    9,573.27/14,345.24 = 6,441.67/x
  3. Step 3: Cross multiply
    9,573.27x = 14,345.24 × 6,441.67
  4. Step 4: Simplify right side
    9,573.27x = 92,407,302.15
  5. Step 5: Solve for x
    x = 92,407,302.15/9,573.27
  6. Step 6: Final answer
    x = 9,652.64

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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.