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Finding the Fourth Proportional to 9,428.76, 14,129.49 and 5,212.83

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Solution

The fourth proportional to 9,428.76, 14,129.49 and 5,212.83 is: 7,811.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,428.76 : 14,129.49 = 5,212.83 : x
  2. Step 2: Convert to fraction form
    9,428.76/14,129.49 = 5,212.83/x
  3. Step 3: Cross multiply
    9,428.76x = 14,129.49 × 5,212.83
  4. Step 4: Simplify right side
    9,428.76x = 73,654,629.36
  5. Step 5: Solve for x
    x = 73,654,629.36/9,428.76
  6. Step 6: Final answer
    x = 7,811.70

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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.