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Finding the Fourth Proportional to 9,458.31, 13,052.34 and 5,209.28

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Solution

The fourth proportional to 9,458.31, 13,052.34 and 5,209.28 is: 7,188.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,458.31 : 13,052.34 = 5,209.28 : x
  2. Step 2: Convert to fraction form
    9,458.31/13,052.34 = 5,209.28/x
  3. Step 3: Cross multiply
    9,458.31x = 13,052.34 × 5,209.28
  4. Step 4: Simplify right side
    9,458.31x = 67,993,228.45
  5. Step 5: Solve for x
    x = 67,993,228.45/9,458.31
  6. Step 6: Final answer
    x = 7,188.73

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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.