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Finding the Fourth Proportional to 9,570.40, 14,353.14 and 2,996.44

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Solution

The fourth proportional to 9,570.40, 14,353.14 and 2,996.44 is: 4,493.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570.40 : 14,353.14 = 2,996.44 : x
  2. Step 2: Convert to fraction form
    9,570.40/14,353.14 = 2,996.44/x
  3. Step 3: Cross multiply
    9,570.40x = 14,353.14 × 2,996.44
  4. Step 4: Simplify right side
    9,570.40x = 43,008,322.82
  5. Step 5: Solve for x
    x = 43,008,322.82/9,570.40
  6. Step 6: Final answer
    x = 4,493.89

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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.