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Finding the Fourth Proportional to 9,448.77, 13,020.06 and 7,311.31

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Solution

The fourth proportional to 9,448.77, 13,020.06 and 7,311.31 is: 10,074.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,448.77 : 13,020.06 = 7,311.31 : x
  2. Step 2: Convert to fraction form
    9,448.77/13,020.06 = 7,311.31/x
  3. Step 3: Cross multiply
    9,448.77x = 13,020.06 × 7,311.31
  4. Step 4: Simplify right side
    9,448.77x = 95,193,694.88
  5. Step 5: Solve for x
    x = 95,193,694.88/9,448.77
  6. Step 6: Final answer
    x = 10,074.72

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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.