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Finding the Fourth Proportional to 9,508.64, 13,125.41 and 5,731.94

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Solution

The fourth proportional to 9,508.64, 13,125.41 and 5,731.94 is: 7,912.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,508.64 : 13,125.41 = 5,731.94 : x
  2. Step 2: Convert to fraction form
    9,508.64/13,125.41 = 5,731.94/x
  3. Step 3: Cross multiply
    9,508.64x = 13,125.41 × 5,731.94
  4. Step 4: Simplify right side
    9,508.64x = 75,233,968.31
  5. Step 5: Solve for x
    x = 75,233,968.31/9,508.64
  6. Step 6: Final answer
    x = 7,912.17

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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.