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Finding the Fourth Proportional to 9,622.10, 14,438.22 and 6,828.98

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Solution

The fourth proportional to 9,622.10, 14,438.22 and 6,828.98 is: 10,247.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,622.10 : 14,438.22 = 6,828.98 : x
  2. Step 2: Convert to fraction form
    9,622.10/14,438.22 = 6,828.98/x
  3. Step 3: Cross multiply
    9,622.10x = 14,438.22 × 6,828.98
  4. Step 4: Simplify right side
    9,622.10x = 98,598,315.62
  5. Step 5: Solve for x
    x = 98,598,315.62/9,622.10
  6. Step 6: Final answer
    x = 10,247.07

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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.