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Finding the Fourth Proportional to 9,570.24, 14,358.24 and 2,997.36

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Solution

The fourth proportional to 9,570.24, 14,358.24 and 2,997.36 is: 4,496.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570.24 : 14,358.24 = 2,997.36 : x
  2. Step 2: Convert to fraction form
    9,570.24/14,358.24 = 2,997.36/x
  3. Step 3: Cross multiply
    9,570.24x = 14,358.24 × 2,997.36
  4. Step 4: Simplify right side
    9,570.24x = 43,036,814.25
  5. Step 5: Solve for x
    x = 43,036,814.25/9,570.24
  6. Step 6: Final answer
    x = 4,496.94

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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.