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Finding the Fourth Proportional to 9,644.50, 13,309.42 and 5,228.50

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Solution

The fourth proportional to 9,644.50, 13,309.42 and 5,228.50 is: 7,215.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.50 : 13,309.42 = 5,228.50 : x
  2. Step 2: Convert to fraction form
    9,644.50/13,309.42 = 5,228.50/x
  3. Step 3: Cross multiply
    9,644.50x = 13,309.42 × 5,228.50
  4. Step 4: Simplify right side
    9,644.50x = 69,588,302.47
  5. Step 5: Solve for x
    x = 69,588,302.47/9,644.50
  6. Step 6: Final answer
    x = 7,215.34

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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.