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Finding the Fourth Proportional to 9,762.12, 13,471.72 and 5,513.37

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Solution

The fourth proportional to 9,762.12, 13,471.72 and 5,513.37 is: 7,608.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.12 : 13,471.72 = 5,513.37 : x
  2. Step 2: Convert to fraction form
    9,762.12/13,471.72 = 5,513.37/x
  3. Step 3: Cross multiply
    9,762.12x = 13,471.72 × 5,513.37
  4. Step 4: Simplify right side
    9,762.12x = 74,274,512.59
  5. Step 5: Solve for x
    x = 74,274,512.59/9,762.12
  6. Step 6: Final answer
    x = 7,608.44

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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.