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Finding the Fourth Proportional to 9,208.30, 13,819.47 and 6,749.41

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Solution

The fourth proportional to 9,208.30, 13,819.47 and 6,749.41 is: 10,129.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208.30 : 13,819.47 = 6,749.41 : x
  2. Step 2: Convert to fraction form
    9,208.30/13,819.47 = 6,749.41/x
  3. Step 3: Cross multiply
    9,208.30x = 13,819.47 × 6,749.41
  4. Step 4: Simplify right side
    9,208.30x = 93,273,269.01
  5. Step 5: Solve for x
    x = 93,273,269.01/9,208.30
  6. Step 6: Final answer
    x = 10,129.26

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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.