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Finding the Fourth Proportional to 9,518.56, 13,126.16 and 5,790.24

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Solution

The fourth proportional to 9,518.56, 13,126.16 and 5,790.24 is: 7,984.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,518.56 : 13,126.16 = 5,790.24 : x
  2. Step 2: Convert to fraction form
    9,518.56/13,126.16 = 5,790.24/x
  3. Step 3: Cross multiply
    9,518.56x = 13,126.16 × 5,790.24
  4. Step 4: Simplify right side
    9,518.56x = 76,003,616.68
  5. Step 5: Solve for x
    x = 76,003,616.68/9,518.56
  6. Step 6: Final answer
    x = 7,984.78

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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.