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Finding the Fourth Proportional to 9,453.09, 14,148.72 and 6,953.61

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Solution

The fourth proportional to 9,453.09, 14,148.72 and 6,953.61 is: 10,407.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,453.09 : 14,148.72 = 6,953.61 : x
  2. Step 2: Convert to fraction form
    9,453.09/14,148.72 = 6,953.61/x
  3. Step 3: Cross multiply
    9,453.09x = 14,148.72 × 6,953.61
  4. Step 4: Simplify right side
    9,453.09x = 98,384,680.88
  5. Step 5: Solve for x
    x = 98,384,680.88/9,453.09
  6. Step 6: Final answer
    x = 10,407.67

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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.