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Finding the Fourth Proportional to 9,834.41, 13,571.65 and 5,358.25

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Solution

The fourth proportional to 9,834.41, 13,571.65 and 5,358.25 is: 7,394.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,834.41 : 13,571.65 = 5,358.25 : x
  2. Step 2: Convert to fraction form
    9,834.41/13,571.65 = 5,358.25/x
  3. Step 3: Cross multiply
    9,834.41x = 13,571.65 × 5,358.25
  4. Step 4: Simplify right side
    9,834.41x = 72,720,317.27
  5. Step 5: Solve for x
    x = 72,720,317.27/9,834.41
  6. Step 6: Final answer
    x = 7,394.47

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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.