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Finding the Fourth Proportional to 9,650.34, 14,477.64 and 5,492.31

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Solution

The fourth proportional to 9,650.34, 14,477.64 and 5,492.31 is: 8,239.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650.34 : 14,477.64 = 5,492.31 : x
  2. Step 2: Convert to fraction form
    9,650.34/14,477.64 = 5,492.31/x
  3. Step 3: Cross multiply
    9,650.34x = 14,477.64 × 5,492.31
  4. Step 4: Simplify right side
    9,650.34x = 79,515,612.06
  5. Step 5: Solve for x
    x = 79,515,612.06/9,650.34
  6. Step 6: Final answer
    x = 8,239.67

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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.