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Finding the Fourth Proportional to 9,762.44, 13,471.29 and 5,782.91

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Solution

The fourth proportional to 9,762.44, 13,471.29 and 5,782.91 is: 7,979.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.44 : 13,471.29 = 5,782.91 : x
  2. Step 2: Convert to fraction form
    9,762.44/13,471.29 = 5,782.91/x
  3. Step 3: Cross multiply
    9,762.44x = 13,471.29 × 5,782.91
  4. Step 4: Simplify right side
    9,762.44x = 77,903,190.30
  5. Step 5: Solve for x
    x = 77,903,190.30/9,762.44
  6. Step 6: Final answer
    x = 7,979.89

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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.