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Finding the Fourth Proportional to 9,575.70, 14,353.26 and 4,634.44

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Solution

The fourth proportional to 9,575.70, 14,353.26 and 4,634.44 is: 6,946.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,575.70 : 14,353.26 = 4,634.44 : x
  2. Step 2: Convert to fraction form
    9,575.70/14,353.26 = 4,634.44/x
  3. Step 3: Cross multiply
    9,575.70x = 14,353.26 × 4,634.44
  4. Step 4: Simplify right side
    9,575.70x = 66,519,322.27
  5. Step 5: Solve for x
    x = 66,519,322.27/9,575.70
  6. Step 6: Final answer
    x = 6,946.68

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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.