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Finding the Fourth Proportional to 9,599.48, 14,389.34 and 3,674.97

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Solution

The fourth proportional to 9,599.48, 14,389.34 and 3,674.97 is: 5,508.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,599.48 : 14,389.34 = 3,674.97 : x
  2. Step 2: Convert to fraction form
    9,599.48/14,389.34 = 3,674.97/x
  3. Step 3: Cross multiply
    9,599.48x = 14,389.34 × 3,674.97
  4. Step 4: Simplify right side
    9,599.48x = 52,880,374.44
  5. Step 5: Solve for x
    x = 52,880,374.44/9,599.48
  6. Step 6: Final answer
    x = 5,508.67

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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.