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Finding the Fourth Proportional to 9,575.40, 14,365.26 and 3,952.92

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Solution

The fourth proportional to 9,575.40, 14,365.26 and 3,952.92 is: 5,930.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,575.40 : 14,365.26 = 3,952.92 : x
  2. Step 2: Convert to fraction form
    9,575.40/14,365.26 = 3,952.92/x
  3. Step 3: Cross multiply
    9,575.40x = 14,365.26 × 3,952.92
  4. Step 4: Simplify right side
    9,575.40x = 56,784,723.56
  5. Step 5: Solve for x
    x = 56,784,723.56/9,575.40
  6. Step 6: Final answer
    x = 5,930.27

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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.