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Finding the Fourth Proportional to 9,664.10, 14,500.20 and 7,220.13

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Solution

The fourth proportional to 9,664.10, 14,500.20 and 7,220.13 is: 10,833.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664.10 : 14,500.20 = 7,220.13 : x
  2. Step 2: Convert to fraction form
    9,664.10/14,500.20 = 7,220.13/x
  3. Step 3: Cross multiply
    9,664.10x = 14,500.20 × 7,220.13
  4. Step 4: Simplify right side
    9,664.10x = 104,693,329.03
  5. Step 5: Solve for x
    x = 104,693,329.03/9,664.10
  6. Step 6: Final answer
    x = 10,833.22

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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.