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Finding the Fourth Proportional to 9,569.69, 14,355.10 and 2,906.41

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Solution

The fourth proportional to 9,569.69, 14,355.10 and 2,906.41 is: 4,359.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.69 : 14,355.10 = 2,906.41 : x
  2. Step 2: Convert to fraction form
    9,569.69/14,355.10 = 2,906.41/x
  3. Step 3: Cross multiply
    9,569.69x = 14,355.10 × 2,906.41
  4. Step 4: Simplify right side
    9,569.69x = 41,721,806.19
  5. Step 5: Solve for x
    x = 41,721,806.19/9,569.69
  6. Step 6: Final answer
    x = 4,359.79

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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.