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Finding the Fourth Proportional to 9,458.70, 13,052.88 and 5,209.68

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Solution

The fourth proportional to 9,458.70, 13,052.88 and 5,209.68 is: 7,189.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,458.70 : 13,052.88 = 5,209.68 : x
  2. Step 2: Convert to fraction form
    9,458.70/13,052.88 = 5,209.68/x
  3. Step 3: Cross multiply
    9,458.70x = 13,052.88 × 5,209.68
  4. Step 4: Simplify right side
    9,458.70x = 68,001,295.25
  5. Step 5: Solve for x
    x = 68,001,295.25/9,458.70
  6. Step 6: Final answer
    x = 7,189.29

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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.