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Finding the Fourth Proportional to 9,299.54, 13,930.47 and 4,605.41

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Solution

The fourth proportional to 9,299.54, 13,930.47 and 4,605.41 is: 6,898.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,299.54 : 13,930.47 = 4,605.41 : x
  2. Step 2: Convert to fraction form
    9,299.54/13,930.47 = 4,605.41/x
  3. Step 3: Cross multiply
    9,299.54x = 13,930.47 × 4,605.41
  4. Step 4: Simplify right side
    9,299.54x = 64,155,456.19
  5. Step 5: Solve for x
    x = 64,155,456.19/9,299.54
  6. Step 6: Final answer
    x = 6,898.78

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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.