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Finding the Fourth Proportional to 9,597.28, 13,246.43 and 6,234.24

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Solution

The fourth proportional to 9,597.28, 13,246.43 and 6,234.24 is: 8,604.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.28 : 13,246.43 = 6,234.24 : x
  2. Step 2: Convert to fraction form
    9,597.28/13,246.43 = 6,234.24/x
  3. Step 3: Cross multiply
    9,597.28x = 13,246.43 × 6,234.24
  4. Step 4: Simplify right side
    9,597.28x = 82,581,423.76
  5. Step 5: Solve for x
    x = 82,581,423.76/9,597.28
  6. Step 6: Final answer
    x = 8,604.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.