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Finding the Fourth Proportional to 9,834.58, 13,571.30 and 5,358.37

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Solution

The fourth proportional to 9,834.58, 13,571.30 and 5,358.37 is: 7,394.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,834.58 : 13,571.30 = 5,358.37 : x
  2. Step 2: Convert to fraction form
    9,834.58/13,571.30 = 5,358.37/x
  3. Step 3: Cross multiply
    9,834.58x = 13,571.30 × 5,358.37
  4. Step 4: Simplify right side
    9,834.58x = 72,719,986.06
  5. Step 5: Solve for x
    x = 72,719,986.06/9,834.58
  6. Step 6: Final answer
    x = 7,394.31

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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.